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Finding the Fourth Proportional to 709.70, 1,064.16 and 627.63

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Solution

The fourth proportional to 709.70, 1,064.16 and 627.63 is: 941.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.70 : 1,064.16 = 627.63 : x
  2. Step 2: Convert to fraction form
    709.70/1,064.16 = 627.63/x
  3. Step 3: Cross multiply
    709.70x = 1,064.16 × 627.63
  4. Step 4: Simplify right side
    709.70x = 667,898.74
  5. Step 5: Solve for x
    x = 667,898.74/709.70
  6. Step 6: Final answer
    x = 941.11

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.