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Finding the Fourth Proportional to 525.84, 725.59 and 304.76

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Solution

The fourth proportional to 525.84, 725.59 and 304.76 is: 420.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.84 : 725.59 = 304.76 : x
  2. Step 2: Convert to fraction form
    525.84/725.59 = 304.76/x
  3. Step 3: Cross multiply
    525.84x = 725.59 × 304.76
  4. Step 4: Simplify right side
    525.84x = 221,128.06
  5. Step 5: Solve for x
    x = 221,128.06/525.84
  6. Step 6: Final answer
    x = 420.53

Related Problems

Find fourth proportional to 262.92, 362.79 and 152.38
Half scale
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Double scale
Find fourth proportional to 526.84, 726.97 and 305.76
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.