Home / 1,580.29-2,180.13-1,159.91

Finding the Fourth Proportional to 1,580.29, 2,180.13 and 1,159.91

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Solution

The fourth proportional to 1,580.29, 2,180.13 and 1,159.91 is: 1,600.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.29 : 2,180.13 = 1,159.91 : x
  2. Step 2: Convert to fraction form
    1,580.29/2,180.13 = 1,159.91/x
  3. Step 3: Cross multiply
    1,580.29x = 2,180.13 × 1,159.91
  4. Step 4: Simplify right side
    1,580.29x = 2,528,748.79
  5. Step 5: Solve for x
    x = 2,528,748.79/1,580.29
  6. Step 6: Final answer
    x = 1,600.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.