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Finding the Fourth Proportional to 582.16, 873.76 and 274.18

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Solution

The fourth proportional to 582.16, 873.76 and 274.18 is: 411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.16 : 873.76 = 274.18 : x
  2. Step 2: Convert to fraction form
    582.16/873.76 = 274.18/x
  3. Step 3: Cross multiply
    582.16x = 873.76 × 274.18
  4. Step 4: Simplify right side
    582.16x = 239,567.52
  5. Step 5: Solve for x
    x = 239,567.52/582.16
  6. Step 6: Final answer
    x = 411.51

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Half scale
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Double scale
Find fourth proportional to 583.16, 875.26 and 275.18
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.