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Finding the Fourth Proportional to 690.93, 1,030.05 and 636.12

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Solution

The fourth proportional to 690.93, 1,030.05 and 636.12 is: 948.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.93 : 1,030.05 = 636.12 : x
  2. Step 2: Convert to fraction form
    690.93/1,030.05 = 636.12/x
  3. Step 3: Cross multiply
    690.93x = 1,030.05 × 636.12
  4. Step 4: Simplify right side
    690.93x = 655,235.41
  5. Step 5: Solve for x
    x = 655,235.41/690.93
  6. Step 6: Final answer
    x = 948.34

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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.