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Finding the Fourth Proportional to 582.81, 804.38 and 456.52

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Solution

The fourth proportional to 582.81, 804.38 and 456.52 is: 630.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.81 : 804.38 = 456.52 : x
  2. Step 2: Convert to fraction form
    582.81/804.38 = 456.52/x
  3. Step 3: Cross multiply
    582.81x = 804.38 × 456.52
  4. Step 4: Simplify right side
    582.81x = 367,215.56
  5. Step 5: Solve for x
    x = 367,215.56/582.81
  6. Step 6: Final answer
    x = 630.08

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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.