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Finding the Fourth Proportional to 1,225.32, 1,690.53 and 831.66

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Solution

The fourth proportional to 1,225.32, 1,690.53 and 831.66 is: 1,147.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.32 : 1,690.53 = 831.66 : x
  2. Step 2: Convert to fraction form
    1,225.32/1,690.53 = 831.66/x
  3. Step 3: Cross multiply
    1,225.32x = 1,690.53 × 831.66
  4. Step 4: Simplify right side
    1,225.32x = 1,405,946.18
  5. Step 5: Solve for x
    x = 1,405,946.18/1,225.32
  6. Step 6: Final answer
    x = 1,147.41

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Double scale
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1.5x scale

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.