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Finding the Fourth Proportional to 504.26, 752.77 and 487.16

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Solution

The fourth proportional to 504.26, 752.77 and 487.16 is: 727.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.26 : 752.77 = 487.16 : x
  2. Step 2: Convert to fraction form
    504.26/752.77 = 487.16/x
  3. Step 3: Cross multiply
    504.26x = 752.77 × 487.16
  4. Step 4: Simplify right side
    504.26x = 366,714.45
  5. Step 5: Solve for x
    x = 366,714.45/504.26
  6. Step 6: Final answer
    x = 727.24

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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.