Home / 1,588.70-2,382.78-434.18

Finding the Fourth Proportional to 1,588.70, 2,382.78 and 434.18

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Solution

The fourth proportional to 1,588.70, 2,382.78 and 434.18 is: 651.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.70 : 2,382.78 = 434.18 : x
  2. Step 2: Convert to fraction form
    1,588.70/2,382.78 = 434.18/x
  3. Step 3: Cross multiply
    1,588.70x = 2,382.78 × 434.18
  4. Step 4: Simplify right side
    1,588.70x = 1,034,555.42
  5. Step 5: Solve for x
    x = 1,034,555.42/1,588.70
  6. Step 6: Final answer
    x = 651.20

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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.