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Finding the Fourth Proportional to 583.65, 879.48 and 483.20

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Solution

The fourth proportional to 583.65, 879.48 and 483.20 is: 728.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.65 : 879.48 = 483.20 : x
  2. Step 2: Convert to fraction form
    583.65/879.48 = 483.20/x
  3. Step 3: Cross multiply
    583.65x = 879.48 × 483.20
  4. Step 4: Simplify right side
    583.65x = 424,960.34
  5. Step 5: Solve for x
    x = 424,960.34/583.65
  6. Step 6: Final answer
    x = 728.11

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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.