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Finding the Fourth Proportional to 689.46, 1,032.57 and 573.90

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Solution

The fourth proportional to 689.46, 1,032.57 and 573.90 is: 859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.46 : 1,032.57 = 573.90 : x
  2. Step 2: Convert to fraction form
    689.46/1,032.57 = 573.90/x
  3. Step 3: Cross multiply
    689.46x = 1,032.57 × 573.90
  4. Step 4: Simplify right side
    689.46x = 592,591.92
  5. Step 5: Solve for x
    x = 592,591.92/689.46
  6. Step 6: Final answer
    x = 859.50

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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.