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Finding the Fourth Proportional to 1,445.65, 2,167.96 and 471.50

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Solution

The fourth proportional to 1,445.65, 2,167.96 and 471.50 is: 707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.65 : 2,167.96 = 471.50 : x
  2. Step 2: Convert to fraction form
    1,445.65/2,167.96 = 471.50/x
  3. Step 3: Cross multiply
    1,445.65x = 2,167.96 × 471.50
  4. Step 4: Simplify right side
    1,445.65x = 1,022,193.14
  5. Step 5: Solve for x
    x = 1,022,193.14/1,445.65
  6. Step 6: Final answer
    x = 707.08

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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.