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Finding the Fourth Proportional to 610.40, 839.76 and 599.06

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Solution

The fourth proportional to 610.40, 839.76 and 599.06 is: 824.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.40 : 839.76 = 599.06 : x
  2. Step 2: Convert to fraction form
    610.40/839.76 = 599.06/x
  3. Step 3: Cross multiply
    610.40x = 839.76 × 599.06
  4. Step 4: Simplify right side
    610.40x = 503,066.63
  5. Step 5: Solve for x
    x = 503,066.63/610.40
  6. Step 6: Final answer
    x = 824.16

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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.