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Finding the Fourth Proportional to 818.91, 1,130.15 and 464.87

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Solution

The fourth proportional to 818.91, 1,130.15 and 464.87 is: 641.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.91 : 1,130.15 = 464.87 : x
  2. Step 2: Convert to fraction form
    818.91/1,130.15 = 464.87/x
  3. Step 3: Cross multiply
    818.91x = 1,130.15 × 464.87
  4. Step 4: Simplify right side
    818.91x = 525,376.82
  5. Step 5: Solve for x
    x = 525,376.82/818.91
  6. Step 6: Final answer
    x = 641.56

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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.