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Finding the Fourth Proportional to 700.58, 966.89 and 405.86

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Solution

The fourth proportional to 700.58, 966.89 and 405.86 is: 560.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.58 : 966.89 = 405.86 : x
  2. Step 2: Convert to fraction form
    700.58/966.89 = 405.86/x
  3. Step 3: Cross multiply
    700.58x = 966.89 × 405.86
  4. Step 4: Simplify right side
    700.58x = 392,421.31
  5. Step 5: Solve for x
    x = 392,421.31/700.58
  6. Step 6: Final answer
    x = 560.14

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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.