Home / 1,585.10-2,377.65-415.10

Finding the Fourth Proportional to 1,585.10, 2,377.65 and 415.10

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Solution

The fourth proportional to 1,585.10, 2,377.65 and 415.10 is: 622.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.10 : 2,377.65 = 415.10 : x
  2. Step 2: Convert to fraction form
    1,585.10/2,377.65 = 415.10/x
  3. Step 3: Cross multiply
    1,585.10x = 2,377.65 × 415.10
  4. Step 4: Simplify right side
    1,585.10x = 986,950.63
  5. Step 5: Solve for x
    x = 986,950.63/1,585.10
  6. Step 6: Final answer
    x = 622.64

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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.