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Finding the Fourth Proportional to 610.48, 846.08 and 598.96

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Solution

The fourth proportional to 610.48, 846.08 and 598.96 is: 830.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.48 : 846.08 = 598.96 : x
  2. Step 2: Convert to fraction form
    610.48/846.08 = 598.96/x
  3. Step 3: Cross multiply
    610.48x = 846.08 × 598.96
  4. Step 4: Simplify right side
    610.48x = 506,768.08
  5. Step 5: Solve for x
    x = 506,768.08/610.48
  6. Step 6: Final answer
    x = 830.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.