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Finding the Fourth Proportional to 1,088.10, 1,500.90 and 645.68

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Solution

The fourth proportional to 1,088.10, 1,500.90 and 645.68 is: 890.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.10 : 1,500.90 = 645.68 : x
  2. Step 2: Convert to fraction form
    1,088.10/1,500.90 = 645.68/x
  3. Step 3: Cross multiply
    1,088.10x = 1,500.90 × 645.68
  4. Step 4: Simplify right side
    1,088.10x = 969,101.11
  5. Step 5: Solve for x
    x = 969,101.11/1,088.10
  6. Step 6: Final answer
    x = 890.64

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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.