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Finding the Fourth Proportional to 582.54, 873.84 and 274.32

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Solution

The fourth proportional to 582.54, 873.84 and 274.32 is: 411.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.54 : 873.84 = 274.32 : x
  2. Step 2: Convert to fraction form
    582.54/873.84 = 274.32/x
  3. Step 3: Cross multiply
    582.54x = 873.84 × 274.32
  4. Step 4: Simplify right side
    582.54x = 239,711.79
  5. Step 5: Solve for x
    x = 239,711.79/582.54
  6. Step 6: Final answer
    x = 411.49

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Half scale
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Double scale
Find fourth proportional to 583.54, 875.34 and 275.32
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.