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Finding the Fourth Proportional to 520.89, 718.23 and 380.76

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Solution

The fourth proportional to 520.89, 718.23 and 380.76 is: 525.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.89 : 718.23 = 380.76 : x
  2. Step 2: Convert to fraction form
    520.89/718.23 = 380.76/x
  3. Step 3: Cross multiply
    520.89x = 718.23 × 380.76
  4. Step 4: Simplify right side
    520.89x = 273,473.25
  5. Step 5: Solve for x
    x = 273,473.25/520.89
  6. Step 6: Final answer
    x = 525.01

Related Problems

Find fourth proportional to 260.45, 359.12 and 190.38
Half scale
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Double scale
Find fourth proportional to 521.89, 719.61 and 381.76
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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.