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Finding the Fourth Proportional to 1,088.16, 1,490.88 and 1,073.76

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Solution

The fourth proportional to 1,088.16, 1,490.88 and 1,073.76 is: 1,471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.16 : 1,490.88 = 1,073.76 : x
  2. Step 2: Convert to fraction form
    1,088.16/1,490.88 = 1,073.76/x
  3. Step 3: Cross multiply
    1,088.16x = 1,490.88 × 1,073.76
  4. Step 4: Simplify right side
    1,088.16x = 1,600,847.31
  5. Step 5: Solve for x
    x = 1,600,847.31/1,088.16
  6. Step 6: Final answer
    x = 1,471.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.