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Finding the Fourth Proportional to 646.16, 890.76 and 477.86

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Solution

The fourth proportional to 646.16, 890.76 and 477.86 is: 658.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.16 : 890.76 = 477.86 : x
  2. Step 2: Convert to fraction form
    646.16/890.76 = 477.86/x
  3. Step 3: Cross multiply
    646.16x = 890.76 × 477.86
  4. Step 4: Simplify right side
    646.16x = 425,654.12
  5. Step 5: Solve for x
    x = 425,654.12/646.16
  6. Step 6: Final answer
    x = 658.75

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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.