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Finding the Fourth Proportional to 820.08, 1,132.35 and 505.50

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Solution

The fourth proportional to 820.08, 1,132.35 and 505.50 is: 697.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.08 : 1,132.35 = 505.50 : x
  2. Step 2: Convert to fraction form
    820.08/1,132.35 = 505.50/x
  3. Step 3: Cross multiply
    820.08x = 1,132.35 × 505.50
  4. Step 4: Simplify right side
    820.08x = 572,402.93
  5. Step 5: Solve for x
    x = 572,402.93/820.08
  6. Step 6: Final answer
    x = 697.98

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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.