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Finding the Fourth Proportional to 582.81, 804.05 and 372.93

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Solution

The fourth proportional to 582.81, 804.05 and 372.93 is: 514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.81 : 804.05 = 372.93 : x
  2. Step 2: Convert to fraction form
    582.81/804.05 = 372.93/x
  3. Step 3: Cross multiply
    582.81x = 804.05 × 372.93
  4. Step 4: Simplify right side
    582.81x = 299,852.50
  5. Step 5: Solve for x
    x = 299,852.50/582.81
  6. Step 6: Final answer
    x = 514.49

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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.