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Finding the Fourth Proportional to 833.84, 1,151.16 and 558

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Solution

The fourth proportional to 833.84, 1,151.16 and 558 is: 770.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.84 : 1,151.16 = 558 : x
  2. Step 2: Convert to fraction form
    833.84/1,151.16 = 558/x
  3. Step 3: Cross multiply
    833.84x = 1,151.16 × 558
  4. Step 4: Simplify right side
    833.84x = 642,347.28
  5. Step 5: Solve for x
    x = 642,347.28/833.84
  6. Step 6: Final answer
    x = 770.35

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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.