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Finding the Fourth Proportional to 583.54, 865.54 and 574.90

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Solution

The fourth proportional to 583.54, 865.54 and 574.90 is: 852.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.54 : 865.54 = 574.90 : x
  2. Step 2: Convert to fraction form
    583.54/865.54 = 574.90/x
  3. Step 3: Cross multiply
    583.54x = 865.54 × 574.90
  4. Step 4: Simplify right side
    583.54x = 497,598.95
  5. Step 5: Solve for x
    x = 497,598.95/583.54
  6. Step 6: Final answer
    x = 852.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.