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Finding the Fourth Proportional to 504.13, 760.85 and 491.17

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Solution

The fourth proportional to 504.13, 760.85 and 491.17 is: 741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.13 : 760.85 = 491.17 : x
  2. Step 2: Convert to fraction form
    504.13/760.85 = 491.17/x
  3. Step 3: Cross multiply
    504.13x = 760.85 × 491.17
  4. Step 4: Simplify right side
    504.13x = 373,704.24
  5. Step 5: Solve for x
    x = 373,704.24/504.13
  6. Step 6: Final answer
    x = 741.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.