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Finding the Fourth Proportional to 1,045.48, 1,442.24 and 667.55

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Solution

The fourth proportional to 1,045.48, 1,442.24 and 667.55 is: 920.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.48 : 1,442.24 = 667.55 : x
  2. Step 2: Convert to fraction form
    1,045.48/1,442.24 = 667.55/x
  3. Step 3: Cross multiply
    1,045.48x = 1,442.24 × 667.55
  4. Step 4: Simplify right side
    1,045.48x = 962,767.31
  5. Step 5: Solve for x
    x = 962,767.31/1,045.48
  6. Step 6: Final answer
    x = 920.89

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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.