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Finding the Fourth Proportional to 714.59, 1,070.93 and 406.32

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Solution

The fourth proportional to 714.59, 1,070.93 and 406.32 is: 608.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.59 : 1,070.93 = 406.32 : x
  2. Step 2: Convert to fraction form
    714.59/1,070.93 = 406.32/x
  3. Step 3: Cross multiply
    714.59x = 1,070.93 × 406.32
  4. Step 4: Simplify right side
    714.59x = 435,138.25
  5. Step 5: Solve for x
    x = 435,138.25/714.59
  6. Step 6: Final answer
    x = 608.94

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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.