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Finding the Fourth Proportional to 831.95, 1,148.54 and 645.02

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Solution

The fourth proportional to 831.95, 1,148.54 and 645.02 is: 890.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.95 : 1,148.54 = 645.02 : x
  2. Step 2: Convert to fraction form
    831.95/1,148.54 = 645.02/x
  3. Step 3: Cross multiply
    831.95x = 1,148.54 × 645.02
  4. Step 4: Simplify right side
    831.95x = 740,830.92
  5. Step 5: Solve for x
    x = 740,830.92/831.95
  6. Step 6: Final answer
    x = 890.47

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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.