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Finding the Fourth Proportional to 688.59, 1,030.32 and 649.65

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Solution

The fourth proportional to 688.59, 1,030.32 and 649.65 is: 972.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.59 : 1,030.32 = 649.65 : x
  2. Step 2: Convert to fraction form
    688.59/1,030.32 = 649.65/x
  3. Step 3: Cross multiply
    688.59x = 1,030.32 × 649.65
  4. Step 4: Simplify right side
    688.59x = 669,347.39
  5. Step 5: Solve for x
    x = 669,347.39/688.59
  6. Step 6: Final answer
    x = 972.06

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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.