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Finding the Fourth Proportional to 675.62, 924.92 and 671.06

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Solution

The fourth proportional to 675.62, 924.92 and 671.06 is: 918.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.62 : 924.92 = 671.06 : x
  2. Step 2: Convert to fraction form
    675.62/924.92 = 671.06/x
  3. Step 3: Cross multiply
    675.62x = 924.92 × 671.06
  4. Step 4: Simplify right side
    675.62x = 620,675.69
  5. Step 5: Solve for x
    x = 620,675.69/675.62
  6. Step 6: Final answer
    x = 918.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.