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Finding the Fourth Proportional to 1,060.67, 1,463.19 and 710.75

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Solution

The fourth proportional to 1,060.67, 1,463.19 and 710.75 is: 980.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.67 : 1,463.19 = 710.75 : x
  2. Step 2: Convert to fraction form
    1,060.67/1,463.19 = 710.75/x
  3. Step 3: Cross multiply
    1,060.67x = 1,463.19 × 710.75
  4. Step 4: Simplify right side
    1,060.67x = 1,039,962.29
  5. Step 5: Solve for x
    x = 1,039,962.29/1,060.67
  6. Step 6: Final answer
    x = 980.48

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.