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Finding the Fourth Proportional to 690.66, 1,030.91 and 632.95

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Solution

The fourth proportional to 690.66, 1,030.91 and 632.95 is: 944.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.66 : 1,030.91 = 632.95 : x
  2. Step 2: Convert to fraction form
    690.66/1,030.91 = 632.95/x
  3. Step 3: Cross multiply
    690.66x = 1,030.91 × 632.95
  4. Step 4: Simplify right side
    690.66x = 652,508.74
  5. Step 5: Solve for x
    x = 652,508.74/690.66
  6. Step 6: Final answer
    x = 944.76

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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.