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Finding the Fourth Proportional to 642.83, 887.31 and 407.17

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Solution

The fourth proportional to 642.83, 887.31 and 407.17 is: 562.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.83 : 887.31 = 407.17 : x
  2. Step 2: Convert to fraction form
    642.83/887.31 = 407.17/x
  3. Step 3: Cross multiply
    642.83x = 887.31 × 407.17
  4. Step 4: Simplify right side
    642.83x = 361,283.79
  5. Step 5: Solve for x
    x = 361,283.79/642.83
  6. Step 6: Final answer
    x = 562.03

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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.