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Finding the Fourth Proportional to 833.48, 1,150.14 and 502

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Solution

The fourth proportional to 833.48, 1,150.14 and 502 is: 692.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.48 : 1,150.14 = 502 : x
  2. Step 2: Convert to fraction form
    833.48/1,150.14 = 502/x
  3. Step 3: Cross multiply
    833.48x = 1,150.14 × 502
  4. Step 4: Simplify right side
    833.48x = 577,370.28
  5. Step 5: Solve for x
    x = 577,370.28/833.48
  6. Step 6: Final answer
    x = 692.72

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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.