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Finding the Fourth Proportional to 610.29, 841.32 and 423.50

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Solution

The fourth proportional to 610.29, 841.32 and 423.50 is: 583.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.29 : 841.32 = 423.50 : x
  2. Step 2: Convert to fraction form
    610.29/841.32 = 423.50/x
  3. Step 3: Cross multiply
    610.29x = 841.32 × 423.50
  4. Step 4: Simplify right side
    610.29x = 356,294.81
  5. Step 5: Solve for x
    x = 356,294.81/610.29
  6. Step 6: Final answer
    x = 583.81

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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.