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Finding the Fourth Proportional to 583.46, 874.78 and 275.05

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Solution

The fourth proportional to 583.46, 874.78 and 275.05 is: 412.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.46 : 874.78 = 275.05 : x
  2. Step 2: Convert to fraction form
    583.46/874.78 = 275.05/x
  3. Step 3: Cross multiply
    583.46x = 874.78 × 275.05
  4. Step 4: Simplify right side
    583.46x = 240,605.36
  5. Step 5: Solve for x
    x = 240,605.36/583.46
  6. Step 6: Final answer
    x = 412.38

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1.5x scale

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.