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Finding the Fourth Proportional to 749.91, 1,124.88 and 256.32

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Solution

The fourth proportional to 749.91, 1,124.88 and 256.32 is: 384.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.91 : 1,124.88 = 256.32 : x
  2. Step 2: Convert to fraction form
    749.91/1,124.88 = 256.32/x
  3. Step 3: Cross multiply
    749.91x = 1,124.88 × 256.32
  4. Step 4: Simplify right side
    749.91x = 288,329.24
  5. Step 5: Solve for x
    x = 288,329.24/749.91
  6. Step 6: Final answer
    x = 384.49

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Half scale
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Double scale
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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.