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Finding the Fourth Proportional to 810.47, 1,215.61 and 233.35

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Solution

The fourth proportional to 810.47, 1,215.61 and 233.35 is: 349.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.47 : 1,215.61 = 233.35 : x
  2. Step 2: Convert to fraction form
    810.47/1,215.61 = 233.35/x
  3. Step 3: Cross multiply
    810.47x = 1,215.61 × 233.35
  4. Step 4: Simplify right side
    810.47x = 283,658.97
  5. Step 5: Solve for x
    x = 283,658.97/810.47
  6. Step 6: Final answer
    x = 349.99

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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.