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Finding the Fourth Proportional to 525.72, 724.46 and 512.76

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Solution

The fourth proportional to 525.72, 724.46 and 512.76 is: 706.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.72 : 724.46 = 512.76 : x
  2. Step 2: Convert to fraction form
    525.72/724.46 = 512.76/x
  3. Step 3: Cross multiply
    525.72x = 724.46 × 512.76
  4. Step 4: Simplify right side
    525.72x = 371,474.11
  5. Step 5: Solve for x
    x = 371,474.11/525.72
  6. Step 6: Final answer
    x = 706.60

Related Problems

Find fourth proportional to 262.86, 362.23 and 256.38
Half scale
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Double scale
Find fourth proportional to 526.72, 725.84 and 513.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.