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Finding the Fourth Proportional to 1,128.53, 1,692.90 and 398.06

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Solution

The fourth proportional to 1,128.53, 1,692.90 and 398.06 is: 597.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.53 : 1,692.90 = 398.06 : x
  2. Step 2: Convert to fraction form
    1,128.53/1,692.90 = 398.06/x
  3. Step 3: Cross multiply
    1,128.53x = 1,692.90 × 398.06
  4. Step 4: Simplify right side
    1,128.53x = 673,875.77
  5. Step 5: Solve for x
    x = 673,875.77/1,128.53
  6. Step 6: Final answer
    x = 597.13

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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.