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Finding the Fourth Proportional to 575.79, 867.93 and 542.34

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Solution

The fourth proportional to 575.79, 867.93 and 542.34 is: 817.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.79 : 867.93 = 542.34 : x
  2. Step 2: Convert to fraction form
    575.79/867.93 = 542.34/x
  3. Step 3: Cross multiply
    575.79x = 867.93 × 542.34
  4. Step 4: Simplify right side
    575.79x = 470,713.16
  5. Step 5: Solve for x
    x = 470,713.16/575.79
  6. Step 6: Final answer
    x = 817.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.