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Finding the Fourth Proportional to 1,445.18, 2,167.95 and 470.95

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Solution

The fourth proportional to 1,445.18, 2,167.95 and 470.95 is: 706.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.18 : 2,167.95 = 470.95 : x
  2. Step 2: Convert to fraction form
    1,445.18/2,167.95 = 470.95/x
  3. Step 3: Cross multiply
    1,445.18x = 2,167.95 × 470.95
  4. Step 4: Simplify right side
    1,445.18x = 1,020,996.05
  5. Step 5: Solve for x
    x = 1,020,996.05/1,445.18
  6. Step 6: Final answer
    x = 706.48

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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.