Home / 1,503.83-2,075.31-831.66

Finding the Fourth Proportional to 1,503.83, 2,075.31 and 831.66

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Solution

The fourth proportional to 1,503.83, 2,075.31 and 831.66 is: 1,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.83 : 2,075.31 = 831.66 : x
  2. Step 2: Convert to fraction form
    1,503.83/2,075.31 = 831.66/x
  3. Step 3: Cross multiply
    1,503.83x = 2,075.31 × 831.66
  4. Step 4: Simplify right side
    1,503.83x = 1,725,952.31
  5. Step 5: Solve for x
    x = 1,725,952.31/1,503.83
  6. Step 6: Final answer
    x = 1,147.70

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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.