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Finding the Fourth Proportional to 1,098.38, 1,515.90 and 626.42

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Solution

The fourth proportional to 1,098.38, 1,515.90 and 626.42 is: 864.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.38 : 1,515.90 = 626.42 : x
  2. Step 2: Convert to fraction form
    1,098.38/1,515.90 = 626.42/x
  3. Step 3: Cross multiply
    1,098.38x = 1,515.90 × 626.42
  4. Step 4: Simplify right side
    1,098.38x = 949,582.50
  5. Step 5: Solve for x
    x = 949,582.50/1,098.38
  6. Step 6: Final answer
    x = 864.53

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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.