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Finding the Fourth Proportional to 707.76, 1,059.17 and 429.95

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Solution

The fourth proportional to 707.76, 1,059.17 and 429.95 is: 643.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.76 : 1,059.17 = 429.95 : x
  2. Step 2: Convert to fraction form
    707.76/1,059.17 = 429.95/x
  3. Step 3: Cross multiply
    707.76x = 1,059.17 × 429.95
  4. Step 4: Simplify right side
    707.76x = 455,390.64
  5. Step 5: Solve for x
    x = 455,390.64/707.76
  6. Step 6: Final answer
    x = 643.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.