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Finding the Fourth Proportional to 831.19, 1,146.99 and 499.42

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Solution

The fourth proportional to 831.19, 1,146.99 and 499.42 is: 689.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.19 : 1,146.99 = 499.42 : x
  2. Step 2: Convert to fraction form
    831.19/1,146.99 = 499.42/x
  3. Step 3: Cross multiply
    831.19x = 1,146.99 × 499.42
  4. Step 4: Simplify right side
    831.19x = 572,829.75
  5. Step 5: Solve for x
    x = 572,829.75/831.19
  6. Step 6: Final answer
    x = 689.17

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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.