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Finding the Fourth Proportional to 966.15, 1,448.04 and 417.72

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Solution

The fourth proportional to 966.15, 1,448.04 and 417.72 is: 626.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.15 : 1,448.04 = 417.72 : x
  2. Step 2: Convert to fraction form
    966.15/1,448.04 = 417.72/x
  3. Step 3: Cross multiply
    966.15x = 1,448.04 × 417.72
  4. Step 4: Simplify right side
    966.15x = 604,875.27
  5. Step 5: Solve for x
    x = 604,875.27/966.15
  6. Step 6: Final answer
    x = 626.07

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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.