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Finding the Fourth Proportional to 966.40, 1,451.02 and 390.40

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Solution

The fourth proportional to 966.40, 1,451.02 and 390.40 is: 586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.40 : 1,451.02 = 390.40 : x
  2. Step 2: Convert to fraction form
    966.40/1,451.02 = 390.40/x
  3. Step 3: Cross multiply
    966.40x = 1,451.02 × 390.40
  4. Step 4: Simplify right side
    966.40x = 566,478.21
  5. Step 5: Solve for x
    x = 566,478.21/966.40
  6. Step 6: Final answer
    x = 586.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.