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Finding the Fourth Proportional to 926.49, 1,278.13 and 594.75

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Solution

The fourth proportional to 926.49, 1,278.13 and 594.75 is: 820.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.49 : 1,278.13 = 594.75 : x
  2. Step 2: Convert to fraction form
    926.49/1,278.13 = 594.75/x
  3. Step 3: Cross multiply
    926.49x = 1,278.13 × 594.75
  4. Step 4: Simplify right side
    926.49x = 760,167.82
  5. Step 5: Solve for x
    x = 760,167.82/926.49
  6. Step 6: Final answer
    x = 820.48

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.