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Finding the Fourth Proportional to 557.16, 767.16 and 424.50

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Solution

The fourth proportional to 557.16, 767.16 and 424.50 is: 584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.16 : 767.16 = 424.50 : x
  2. Step 2: Convert to fraction form
    557.16/767.16 = 424.50/x
  3. Step 3: Cross multiply
    557.16x = 767.16 × 424.50
  4. Step 4: Simplify right side
    557.16x = 325,659.42
  5. Step 5: Solve for x
    x = 325,659.42/557.16
  6. Step 6: Final answer
    x = 584.50

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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.