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Finding the Fourth Proportional to 822.95, 1,235.33 and 476.67

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Solution

The fourth proportional to 822.95, 1,235.33 and 476.67 is: 715.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.95 : 1,235.33 = 476.67 : x
  2. Step 2: Convert to fraction form
    822.95/1,235.33 = 476.67/x
  3. Step 3: Cross multiply
    822.95x = 1,235.33 × 476.67
  4. Step 4: Simplify right side
    822.95x = 588,844.75
  5. Step 5: Solve for x
    x = 588,844.75/822.95
  6. Step 6: Final answer
    x = 715.53

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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.