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Finding the Fourth Proportional to 738.49, 1,102.32 and 650.91

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Solution

The fourth proportional to 738.49, 1,102.32 and 650.91 is: 971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.49 : 1,102.32 = 650.91 : x
  2. Step 2: Convert to fraction form
    738.49/1,102.32 = 650.91/x
  3. Step 3: Cross multiply
    738.49x = 1,102.32 × 650.91
  4. Step 4: Simplify right side
    738.49x = 717,515.12
  5. Step 5: Solve for x
    x = 717,515.12/738.49
  6. Step 6: Final answer
    x = 971.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.