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Finding the Fourth Proportional to 831.34, 1,146.30 and 753.58

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Solution

The fourth proportional to 831.34, 1,146.30 and 753.58 is: 1,039.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.34 : 1,146.30 = 753.58 : x
  2. Step 2: Convert to fraction form
    831.34/1,146.30 = 753.58/x
  3. Step 3: Cross multiply
    831.34x = 1,146.30 × 753.58
  4. Step 4: Simplify right side
    831.34x = 863,828.75
  5. Step 5: Solve for x
    x = 863,828.75/831.34
  6. Step 6: Final answer
    x = 1,039.08

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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.