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Finding the Fourth Proportional to 926.41, 1,278.44 and 506.77

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Solution

The fourth proportional to 926.41, 1,278.44 and 506.77 is: 699.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.41 : 1,278.44 = 506.77 : x
  2. Step 2: Convert to fraction form
    926.41/1,278.44 = 506.77/x
  3. Step 3: Cross multiply
    926.41x = 1,278.44 × 506.77
  4. Step 4: Simplify right side
    926.41x = 647,875.04
  5. Step 5: Solve for x
    x = 647,875.04/926.41
  6. Step 6: Final answer
    x = 699.34

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.