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Finding the Fourth Proportional to 1,066.76, 1,471.93 and 624.70

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Solution

The fourth proportional to 1,066.76, 1,471.93 and 624.70 is: 861.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.76 : 1,471.93 = 624.70 : x
  2. Step 2: Convert to fraction form
    1,066.76/1,471.93 = 624.70/x
  3. Step 3: Cross multiply
    1,066.76x = 1,471.93 × 624.70
  4. Step 4: Simplify right side
    1,066.76x = 919,514.67
  5. Step 5: Solve for x
    x = 919,514.67/1,066.76
  6. Step 6: Final answer
    x = 861.97

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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.