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Finding the Fourth Proportional to 583.56, 875.28 and 390.78

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Solution

The fourth proportional to 583.56, 875.28 and 390.78 is: 586.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.56 : 875.28 = 390.78 : x
  2. Step 2: Convert to fraction form
    583.56/875.28 = 390.78/x
  3. Step 3: Cross multiply
    583.56x = 875.28 × 390.78
  4. Step 4: Simplify right side
    583.56x = 342,041.92
  5. Step 5: Solve for x
    x = 342,041.92/583.56
  6. Step 6: Final answer
    x = 586.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.