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Finding the Fourth Proportional to 833.55, 1,248.56 and 463.33

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Solution

The fourth proportional to 833.55, 1,248.56 and 463.33 is: 694.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.55 : 1,248.56 = 463.33 : x
  2. Step 2: Convert to fraction form
    833.55/1,248.56 = 463.33/x
  3. Step 3: Cross multiply
    833.55x = 1,248.56 × 463.33
  4. Step 4: Simplify right side
    833.55x = 578,495.30
  5. Step 5: Solve for x
    x = 578,495.30/833.55
  6. Step 6: Final answer
    x = 694.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.