Home / 1,106.13-1,657.47-831.93

Finding the Fourth Proportional to 1,106.13, 1,657.47 and 831.93

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Solution

The fourth proportional to 1,106.13, 1,657.47 and 831.93 is: 1,246.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.13 : 1,657.47 = 831.93 : x
  2. Step 2: Convert to fraction form
    1,106.13/1,657.47 = 831.93/x
  3. Step 3: Cross multiply
    1,106.13x = 1,657.47 × 831.93
  4. Step 4: Simplify right side
    1,106.13x = 1,378,899.02
  5. Step 5: Solve for x
    x = 1,378,899.02/1,106.13
  6. Step 6: Final answer
    x = 1,246.60

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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.