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Finding the Fourth Proportional to 582.71, 804.83 and 433.08

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Solution

The fourth proportional to 582.71, 804.83 and 433.08 is: 598.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.71 : 804.83 = 433.08 : x
  2. Step 2: Convert to fraction form
    582.71/804.83 = 433.08/x
  3. Step 3: Cross multiply
    582.71x = 804.83 × 433.08
  4. Step 4: Simplify right side
    582.71x = 348,553.61
  5. Step 5: Solve for x
    x = 348,553.61/582.71
  6. Step 6: Final answer
    x = 598.16

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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.