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Finding the Fourth Proportional to 891.74, 1,230.53 and 513.62

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Solution

The fourth proportional to 891.74, 1,230.53 and 513.62 is: 708.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.74 : 1,230.53 = 513.62 : x
  2. Step 2: Convert to fraction form
    891.74/1,230.53 = 513.62/x
  3. Step 3: Cross multiply
    891.74x = 1,230.53 × 513.62
  4. Step 4: Simplify right side
    891.74x = 632,018.02
  5. Step 5: Solve for x
    x = 632,018.02/891.74
  6. Step 6: Final answer
    x = 708.74

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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.