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Finding the Fourth Proportional to 583.92, 870.48 and 574.56

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Solution

The fourth proportional to 583.92, 870.48 and 574.56 is: 856.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.92 : 870.48 = 574.56 : x
  2. Step 2: Convert to fraction form
    583.92/870.48 = 574.56/x
  3. Step 3: Cross multiply
    583.92x = 870.48 × 574.56
  4. Step 4: Simplify right side
    583.92x = 500,142.99
  5. Step 5: Solve for x
    x = 500,142.99/583.92
  6. Step 6: Final answer
    x = 856.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.