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Finding the Fourth Proportional to 505.71, 753.91 and 501.12

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Solution

The fourth proportional to 505.71, 753.91 and 501.12 is: 747.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.71 : 753.91 = 501.12 : x
  2. Step 2: Convert to fraction form
    505.71/753.91 = 501.12/x
  3. Step 3: Cross multiply
    505.71x = 753.91 × 501.12
  4. Step 4: Simplify right side
    505.71x = 377,798.13
  5. Step 5: Solve for x
    x = 377,798.13/505.71
  6. Step 6: Final answer
    x = 747.06

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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.