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Finding the Fourth Proportional to 582.42, 805.01 and 511.95

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Solution

The fourth proportional to 582.42, 805.01 and 511.95 is: 707.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.42 : 805.01 = 511.95 : x
  2. Step 2: Convert to fraction form
    582.42/805.01 = 511.95/x
  3. Step 3: Cross multiply
    582.42x = 805.01 × 511.95
  4. Step 4: Simplify right side
    582.42x = 412,124.87
  5. Step 5: Solve for x
    x = 412,124.87/582.42
  6. Step 6: Final answer
    x = 707.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.