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Finding the Fourth Proportional to 610.32, 837.12 and 599.76

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Solution

The fourth proportional to 610.32, 837.12 and 599.76 is: 822.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.32 : 837.12 = 599.76 : x
  2. Step 2: Convert to fraction form
    610.32/837.12 = 599.76/x
  3. Step 3: Cross multiply
    610.32x = 837.12 × 599.76
  4. Step 4: Simplify right side
    610.32x = 502,071.09
  5. Step 5: Solve for x
    x = 502,071.09/610.32
  6. Step 6: Final answer
    x = 822.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.