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Finding the Fourth Proportional to 1,585.78, 2,378.68 and 431.53

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Solution

The fourth proportional to 1,585.78, 2,378.68 and 431.53 is: 647.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.78 : 2,378.68 = 431.53 : x
  2. Step 2: Convert to fraction form
    1,585.78/2,378.68 = 431.53/x
  3. Step 3: Cross multiply
    1,585.78x = 2,378.68 × 431.53
  4. Step 4: Simplify right side
    1,585.78x = 1,026,474.89
  5. Step 5: Solve for x
    x = 1,026,474.89/1,585.78
  6. Step 6: Final answer
    x = 647.30

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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.