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Finding the Fourth Proportional to 632.67, 870.43 and 557.64

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Solution

The fourth proportional to 632.67, 870.43 and 557.64 is: 767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.67 : 870.43 = 557.64 : x
  2. Step 2: Convert to fraction form
    632.67/870.43 = 557.64/x
  3. Step 3: Cross multiply
    632.67x = 870.43 × 557.64
  4. Step 4: Simplify right side
    632.67x = 485,386.59
  5. Step 5: Solve for x
    x = 485,386.59/632.67
  6. Step 6: Final answer
    x = 767.20

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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.