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Finding the Fourth Proportional to 711.52, 1,071.02 and 649.24

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Solution

The fourth proportional to 711.52, 1,071.02 and 649.24 is: 977.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.52 : 1,071.02 = 649.24 : x
  2. Step 2: Convert to fraction form
    711.52/1,071.02 = 649.24/x
  3. Step 3: Cross multiply
    711.52x = 1,071.02 × 649.24
  4. Step 4: Simplify right side
    711.52x = 695,349.02
  5. Step 5: Solve for x
    x = 695,349.02/711.52
  6. Step 6: Final answer
    x = 977.27

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.