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Finding the Fourth Proportional to 521.80, 723.67 and 497.80

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Solution

The fourth proportional to 521.80, 723.67 and 497.80 is: 690.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.80 : 723.67 = 497.80 : x
  2. Step 2: Convert to fraction form
    521.80/723.67 = 497.80/x
  3. Step 3: Cross multiply
    521.80x = 723.67 × 497.80
  4. Step 4: Simplify right side
    521.80x = 360,242.93
  5. Step 5: Solve for x
    x = 360,242.93/521.80
  6. Step 6: Final answer
    x = 690.39

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Double scale
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1.5x scale

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.