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Finding the Fourth Proportional to 821.55, 1,135.18 and 657.12

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Solution

The fourth proportional to 821.55, 1,135.18 and 657.12 is: 907.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.55 : 1,135.18 = 657.12 : x
  2. Step 2: Convert to fraction form
    821.55/1,135.18 = 657.12/x
  3. Step 3: Cross multiply
    821.55x = 1,135.18 × 657.12
  4. Step 4: Simplify right side
    821.55x = 745,943.81
  5. Step 5: Solve for x
    x = 745,943.81/821.55
  6. Step 6: Final answer
    x = 907.98

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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.