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Finding the Fourth Proportional to 1,033.04, 1,424.12 and 738.20

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Solution

The fourth proportional to 1,033.04, 1,424.12 and 738.20 is: 1,017.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.04 : 1,424.12 = 738.20 : x
  2. Step 2: Convert to fraction form
    1,033.04/1,424.12 = 738.20/x
  3. Step 3: Cross multiply
    1,033.04x = 1,424.12 × 738.20
  4. Step 4: Simplify right side
    1,033.04x = 1,051,285.38
  5. Step 5: Solve for x
    x = 1,051,285.38/1,033.04
  6. Step 6: Final answer
    x = 1,017.66

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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.