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Finding the Fourth Proportional to 504.72, 754.32 and 493.20

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Solution

The fourth proportional to 504.72, 754.32 and 493.20 is: 737.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.72 : 754.32 = 493.20 : x
  2. Step 2: Convert to fraction form
    504.72/754.32 = 493.20/x
  3. Step 3: Cross multiply
    504.72x = 754.32 × 493.20
  4. Step 4: Simplify right side
    504.72x = 372,030.62
  5. Step 5: Solve for x
    x = 372,030.62/504.72
  6. Step 6: Final answer
    x = 737.10

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Double scale
Find fourth proportional to 505.72, 755.81 and 494.20
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.