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Finding the Fourth Proportional to 582.25, 803.91 and 407.29

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Solution

The fourth proportional to 582.25, 803.91 and 407.29 is: 562.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.25 : 803.91 = 407.29 : x
  2. Step 2: Convert to fraction form
    582.25/803.91 = 407.29/x
  3. Step 3: Cross multiply
    582.25x = 803.91 × 407.29
  4. Step 4: Simplify right side
    582.25x = 327,424.50
  5. Step 5: Solve for x
    x = 327,424.50/582.25
  6. Step 6: Final answer
    x = 562.34

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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.