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Finding the Fourth Proportional to 675.04, 1,012.62 and 418

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Solution

The fourth proportional to 675.04, 1,012.62 and 418 is: 627.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.04 : 1,012.62 = 418 : x
  2. Step 2: Convert to fraction form
    675.04/1,012.62 = 418/x
  3. Step 3: Cross multiply
    675.04x = 1,012.62 × 418
  4. Step 4: Simplify right side
    675.04x = 423,275.16
  5. Step 5: Solve for x
    x = 423,275.16/675.04
  6. Step 6: Final answer
    x = 627.04

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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.