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Finding the Fourth Proportional to 582.57, 873.18 and 408.98

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Solution

The fourth proportional to 582.57, 873.18 and 408.98 is: 612.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.57 : 873.18 = 408.98 : x
  2. Step 2: Convert to fraction form
    582.57/873.18 = 408.98/x
  3. Step 3: Cross multiply
    582.57x = 873.18 × 408.98
  4. Step 4: Simplify right side
    582.57x = 357,108.79
  5. Step 5: Solve for x
    x = 357,108.79/582.57
  6. Step 6: Final answer
    x = 612.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.