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Finding the Fourth Proportional to 582.57, 804.47 and 434.95

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Solution

The fourth proportional to 582.57, 804.47 and 434.95 is: 600.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.57 : 804.47 = 434.95 : x
  2. Step 2: Convert to fraction form
    582.57/804.47 = 434.95/x
  3. Step 3: Cross multiply
    582.57x = 804.47 × 434.95
  4. Step 4: Simplify right side
    582.57x = 349,904.23
  5. Step 5: Solve for x
    x = 349,904.23/582.57
  6. Step 6: Final answer
    x = 600.62

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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.