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Finding the Fourth Proportional to 717.84, 1,071.72 and 649.80

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Solution

The fourth proportional to 717.84, 1,071.72 and 649.80 is: 970.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.84 : 1,071.72 = 649.80 : x
  2. Step 2: Convert to fraction form
    717.84/1,071.72 = 649.80/x
  3. Step 3: Cross multiply
    717.84x = 1,071.72 × 649.80
  4. Step 4: Simplify right side
    717.84x = 696,403.66
  5. Step 5: Solve for x
    x = 696,403.66/717.84
  6. Step 6: Final answer
    x = 970.14

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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.