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Finding the Fourth Proportional to 1,585.74, 2,378.60 and 431.49

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Solution

The fourth proportional to 1,585.74, 2,378.60 and 431.49 is: 647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.74 : 2,378.60 = 431.49 : x
  2. Step 2: Convert to fraction form
    1,585.74/2,378.60 = 431.49/x
  3. Step 3: Cross multiply
    1,585.74x = 2,378.60 × 431.49
  4. Step 4: Simplify right side
    1,585.74x = 1,026,342.11
  5. Step 5: Solve for x
    x = 1,026,342.11/1,585.74
  6. Step 6: Final answer
    x = 647.23

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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.