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Finding the Fourth Proportional to 582.80, 817 and 582.80

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Solution

The fourth proportional to 582.80, 817 and 582.80 is: 817

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.80 : 817 = 582.80 : x
  2. Step 2: Convert to fraction form
    582.80/817 = 582.80/x
  3. Step 3: Cross multiply
    582.80x = 817 × 582.80
  4. Step 4: Simplify right side
    582.80x = 476,147.60
  5. Step 5: Solve for x
    x = 476,147.60/582.80
  6. Step 6: Final answer
    x = 817

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.