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Finding the Fourth Proportional to 926.98, 1,278.65 and 595.28

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Solution

The fourth proportional to 926.98, 1,278.65 and 595.28 is: 821.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.98 : 1,278.65 = 595.28 : x
  2. Step 2: Convert to fraction form
    926.98/1,278.65 = 595.28/x
  3. Step 3: Cross multiply
    926.98x = 1,278.65 × 595.28
  4. Step 4: Simplify right side
    926.98x = 761,159.46
  5. Step 5: Solve for x
    x = 761,159.46/926.98
  6. Step 6: Final answer
    x = 821.12

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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.