Home / 1,585.60-2,378.40-431.35

Finding the Fourth Proportional to 1,585.60, 2,378.40 and 431.35

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Solution

The fourth proportional to 1,585.60, 2,378.40 and 431.35 is: 647.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.60 : 2,378.40 = 431.35 : x
  2. Step 2: Convert to fraction form
    1,585.60/2,378.40 = 431.35/x
  3. Step 3: Cross multiply
    1,585.60x = 2,378.40 × 431.35
  4. Step 4: Simplify right side
    1,585.60x = 1,025,916.89
  5. Step 5: Solve for x
    x = 1,025,916.89/1,585.60
  6. Step 6: Final answer
    x = 647.02

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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.