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Finding the Fourth Proportional to 926.98, 1,278.50 and 595.44

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Solution

The fourth proportional to 926.98, 1,278.50 and 595.44 is: 821.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.98 : 1,278.50 = 595.44 : x
  2. Step 2: Convert to fraction form
    926.98/1,278.50 = 595.44/x
  3. Step 3: Cross multiply
    926.98x = 1,278.50 × 595.44
  4. Step 4: Simplify right side
    926.98x = 761,270.04
  5. Step 5: Solve for x
    x = 761,270.04/926.98
  6. Step 6: Final answer
    x = 821.24

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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.