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Finding the Fourth Proportional to 610.88, 842.40 and 500.01

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Solution

The fourth proportional to 610.88, 842.40 and 500.01 is: 689.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.88 : 842.40 = 500.01 : x
  2. Step 2: Convert to fraction form
    610.88/842.40 = 500.01/x
  3. Step 3: Cross multiply
    610.88x = 842.40 × 500.01
  4. Step 4: Simplify right side
    610.88x = 421,205.27
  5. Step 5: Solve for x
    x = 421,205.27/610.88
  6. Step 6: Final answer
    x = 689.51

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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.