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Finding the Fourth Proportional to 690.52, 1,040.81 and 620.08

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Solution

The fourth proportional to 690.52, 1,040.81 and 620.08 is: 934.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.52 : 1,040.81 = 620.08 : x
  2. Step 2: Convert to fraction form
    690.52/1,040.81 = 620.08/x
  3. Step 3: Cross multiply
    690.52x = 1,040.81 × 620.08
  4. Step 4: Simplify right side
    690.52x = 645,385.46
  5. Step 5: Solve for x
    x = 645,385.46/690.52
  6. Step 6: Final answer
    x = 934.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.