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Finding the Fourth Proportional to 910.39, 1,256.15 and 578.70

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Solution

The fourth proportional to 910.39, 1,256.15 and 578.70 is: 798.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.39 : 1,256.15 = 578.70 : x
  2. Step 2: Convert to fraction form
    910.39/1,256.15 = 578.70/x
  3. Step 3: Cross multiply
    910.39x = 1,256.15 × 578.70
  4. Step 4: Simplify right side
    910.39x = 726,927.72
  5. Step 5: Solve for x
    x = 726,927.72/910.39
  6. Step 6: Final answer
    x = 798.48

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.