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Finding the Fourth Proportional to 714.50, 1,070.07 and 599.68

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Solution

The fourth proportional to 714.50, 1,070.07 and 599.68 is: 898.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.50 : 1,070.07 = 599.68 : x
  2. Step 2: Convert to fraction form
    714.50/1,070.07 = 599.68/x
  3. Step 3: Cross multiply
    714.50x = 1,070.07 × 599.68
  4. Step 4: Simplify right side
    714.50x = 641,699.58
  5. Step 5: Solve for x
    x = 641,699.58/714.50
  6. Step 6: Final answer
    x = 898.11

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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.