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Finding the Fourth Proportional to 582.02, 868.52 and 520.68

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Solution

The fourth proportional to 582.02, 868.52 and 520.68 is: 776.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.02 : 868.52 = 520.68 : x
  2. Step 2: Convert to fraction form
    582.02/868.52 = 520.68/x
  3. Step 3: Cross multiply
    582.02x = 868.52 × 520.68
  4. Step 4: Simplify right side
    582.02x = 452,220.99
  5. Step 5: Solve for x
    x = 452,220.99/582.02
  6. Step 6: Final answer
    x = 776.99

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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.