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Finding the Fourth Proportional to 484.93, 723.77 and 469.81

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Solution

The fourth proportional to 484.93, 723.77 and 469.81 is: 701.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.93 : 723.77 = 469.81 : x
  2. Step 2: Convert to fraction form
    484.93/723.77 = 469.81/x
  3. Step 3: Cross multiply
    484.93x = 723.77 × 469.81
  4. Step 4: Simplify right side
    484.93x = 340,034.38
  5. Step 5: Solve for x
    x = 340,034.38/484.93
  6. Step 6: Final answer
    x = 701.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.