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Finding the Fourth Proportional to 610.58, 841.14 and 423.74

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Solution

The fourth proportional to 610.58, 841.14 and 423.74 is: 583.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.58 : 841.14 = 423.74 : x
  2. Step 2: Convert to fraction form
    610.58/841.14 = 423.74/x
  3. Step 3: Cross multiply
    610.58x = 841.14 × 423.74
  4. Step 4: Simplify right side
    610.58x = 356,424.66
  5. Step 5: Solve for x
    x = 356,424.66/610.58
  6. Step 6: Final answer
    x = 583.75

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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.