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Finding the Fourth Proportional to 910.76, 1,256.77 and 506.91

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Solution

The fourth proportional to 910.76, 1,256.77 and 506.91 is: 699.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.76 : 1,256.77 = 506.91 : x
  2. Step 2: Convert to fraction form
    910.76/1,256.77 = 506.91/x
  3. Step 3: Cross multiply
    910.76x = 1,256.77 × 506.91
  4. Step 4: Simplify right side
    910.76x = 637,069.28
  5. Step 5: Solve for x
    x = 637,069.28/910.76
  6. Step 6: Final answer
    x = 699.49

Related Problems

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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.