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Finding the Fourth Proportional to 1,348.78, 2,023.31 and 527.13

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Solution

The fourth proportional to 1,348.78, 2,023.31 and 527.13 is: 790.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.78 : 2,023.31 = 527.13 : x
  2. Step 2: Convert to fraction form
    1,348.78/2,023.31 = 527.13/x
  3. Step 3: Cross multiply
    1,348.78x = 2,023.31 × 527.13
  4. Step 4: Simplify right side
    1,348.78x = 1,066,547.40
  5. Step 5: Solve for x
    x = 1,066,547.40/1,348.78
  6. Step 6: Final answer
    x = 790.75

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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.