Home / 1,526.48-2,287.80-831.71

Finding the Fourth Proportional to 1,526.48, 2,287.80 and 831.71

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Solution

The fourth proportional to 1,526.48, 2,287.80 and 831.71 is: 1,246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.48 : 2,287.80 = 831.71 : x
  2. Step 2: Convert to fraction form
    1,526.48/2,287.80 = 831.71/x
  3. Step 3: Cross multiply
    1,526.48x = 2,287.80 × 831.71
  4. Step 4: Simplify right side
    1,526.48x = 1,902,774.70
  5. Step 5: Solve for x
    x = 1,902,774.70/1,526.48
  6. Step 6: Final answer
    x = 1,246.51

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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.