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Finding the Fourth Proportional to 831.52, 1,146.16 and 569.08

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Solution

The fourth proportional to 831.52, 1,146.16 and 569.08 is: 784.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.52 : 1,146.16 = 569.08 : x
  2. Step 2: Convert to fraction form
    831.52/1,146.16 = 569.08/x
  3. Step 3: Cross multiply
    831.52x = 1,146.16 × 569.08
  4. Step 4: Simplify right side
    831.52x = 652,256.73
  5. Step 5: Solve for x
    x = 652,256.73/831.52
  6. Step 6: Final answer
    x = 784.41

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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.