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Finding the Fourth Proportional to 642.94, 887.56 and 410.06

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Solution

The fourth proportional to 642.94, 887.56 and 410.06 is: 566.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.94 : 887.56 = 410.06 : x
  2. Step 2: Convert to fraction form
    642.94/887.56 = 410.06/x
  3. Step 3: Cross multiply
    642.94x = 887.56 × 410.06
  4. Step 4: Simplify right side
    642.94x = 363,954.05
  5. Step 5: Solve for x
    x = 363,954.05/642.94
  6. Step 6: Final answer
    x = 566.08

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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.