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Finding the Fourth Proportional to 1,348.68, 2,023.51 and 471.31

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Solution

The fourth proportional to 1,348.68, 2,023.51 and 471.31 is: 707.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.68 : 2,023.51 = 471.31 : x
  2. Step 2: Convert to fraction form
    1,348.68/2,023.51 = 471.31/x
  3. Step 3: Cross multiply
    1,348.68x = 2,023.51 × 471.31
  4. Step 4: Simplify right side
    1,348.68x = 953,698.14
  5. Step 5: Solve for x
    x = 953,698.14/1,348.68
  6. Step 6: Final answer
    x = 707.13

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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.