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Finding the Fourth Proportional to 610.69, 841.62 and 433.66

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Solution

The fourth proportional to 610.69, 841.62 and 433.66 is: 597.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.69 : 841.62 = 433.66 : x
  2. Step 2: Convert to fraction form
    610.69/841.62 = 433.66/x
  3. Step 3: Cross multiply
    610.69x = 841.62 × 433.66
  4. Step 4: Simplify right side
    610.69x = 364,978.62
  5. Step 5: Solve for x
    x = 364,978.62/610.69
  6. Step 6: Final answer
    x = 597.65

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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.