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Finding the Fourth Proportional to 820.95, 1,230.63 and 527.63

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Solution

The fourth proportional to 820.95, 1,230.63 and 527.63 is: 790.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.95 : 1,230.63 = 527.63 : x
  2. Step 2: Convert to fraction form
    820.95/1,230.63 = 527.63/x
  3. Step 3: Cross multiply
    820.95x = 1,230.63 × 527.63
  4. Step 4: Simplify right side
    820.95x = 649,317.31
  5. Step 5: Solve for x
    x = 649,317.31/820.95
  6. Step 6: Final answer
    x = 790.93

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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.