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Finding the Fourth Proportional to 690.52, 1,029.89 and 608.44

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Solution

The fourth proportional to 690.52, 1,029.89 and 608.44 is: 907.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.52 : 1,029.89 = 608.44 : x
  2. Step 2: Convert to fraction form
    690.52/1,029.89 = 608.44/x
  3. Step 3: Cross multiply
    690.52x = 1,029.89 × 608.44
  4. Step 4: Simplify right side
    690.52x = 626,626.27
  5. Step 5: Solve for x
    x = 626,626.27/690.52
  6. Step 6: Final answer
    x = 907.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.