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Finding the Fourth Proportional to 583.57, 874.95 and 275.13

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Solution

The fourth proportional to 583.57, 874.95 and 275.13 is: 412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.57 : 874.95 = 275.13 : x
  2. Step 2: Convert to fraction form
    583.57/874.95 = 275.13/x
  3. Step 3: Cross multiply
    583.57x = 874.95 × 275.13
  4. Step 4: Simplify right side
    583.57x = 240,724.99
  5. Step 5: Solve for x
    x = 240,724.99/583.57
  6. Step 6: Final answer
    x = 412.50

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Half scale
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Double scale
Find fourth proportional to 584.57, 876.45 and 276.13
Similar ratio
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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.