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Finding the Fourth Proportional to 1,459.35, 2,188.62 and 718.61

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Solution

The fourth proportional to 1,459.35, 2,188.62 and 718.61 is: 1,077.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.35 : 2,188.62 = 718.61 : x
  2. Step 2: Convert to fraction form
    1,459.35/2,188.62 = 718.61/x
  3. Step 3: Cross multiply
    1,459.35x = 2,188.62 × 718.61
  4. Step 4: Simplify right side
    1,459.35x = 1,572,753.28
  5. Step 5: Solve for x
    x = 1,572,753.28/1,459.35
  6. Step 6: Final answer
    x = 1,077.71

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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.