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Finding the Fourth Proportional to 642.03, 885.98 and 358.45

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Solution

The fourth proportional to 642.03, 885.98 and 358.45 is: 494.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.03 : 885.98 = 358.45 : x
  2. Step 2: Convert to fraction form
    642.03/885.98 = 358.45/x
  3. Step 3: Cross multiply
    642.03x = 885.98 × 358.45
  4. Step 4: Simplify right side
    642.03x = 317,579.53
  5. Step 5: Solve for x
    x = 317,579.53/642.03
  6. Step 6: Final answer
    x = 494.65

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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.