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Finding the Fourth Proportional to 810.79, 1,216.51 and 372.25

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Solution

The fourth proportional to 810.79, 1,216.51 and 372.25 is: 558.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.79 : 1,216.51 = 372.25 : x
  2. Step 2: Convert to fraction form
    810.79/1,216.51 = 372.25/x
  3. Step 3: Cross multiply
    810.79x = 1,216.51 × 372.25
  4. Step 4: Simplify right side
    810.79x = 452,839.76
  5. Step 5: Solve for x
    x = 452,839.76/810.79
  6. Step 6: Final answer
    x = 558.52

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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.