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Finding the Fourth Proportional to 810.88, 1,215.20 and 464.40

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Solution

The fourth proportional to 810.88, 1,215.20 and 464.40 is: 695.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.88 : 1,215.20 = 464.40 : x
  2. Step 2: Convert to fraction form
    810.88/1,215.20 = 464.40/x
  3. Step 3: Cross multiply
    810.88x = 1,215.20 × 464.40
  4. Step 4: Simplify right side
    810.88x = 564,338.88
  5. Step 5: Solve for x
    x = 564,338.88/810.88
  6. Step 6: Final answer
    x = 695.96

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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.