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Finding the Fourth Proportional to 746.76, 1,027.10 and 599.07

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Solution

The fourth proportional to 746.76, 1,027.10 and 599.07 is: 823.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.76 : 1,027.10 = 599.07 : x
  2. Step 2: Convert to fraction form
    746.76/1,027.10 = 599.07/x
  3. Step 3: Cross multiply
    746.76x = 1,027.10 × 599.07
  4. Step 4: Simplify right side
    746.76x = 615,306.29
  5. Step 5: Solve for x
    x = 615,306.29/746.76
  6. Step 6: Final answer
    x = 823.97

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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.