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Finding the Fourth Proportional to 675.96, 1,013.40 and 402

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Solution

The fourth proportional to 675.96, 1,013.40 and 402 is: 602.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.96 : 1,013.40 = 402 : x
  2. Step 2: Convert to fraction form
    675.96/1,013.40 = 402/x
  3. Step 3: Cross multiply
    675.96x = 1,013.40 × 402
  4. Step 4: Simplify right side
    675.96x = 407,386.80
  5. Step 5: Solve for x
    x = 407,386.80/675.96
  6. Step 6: Final answer
    x = 602.68

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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.