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Finding the Fourth Proportional to 926.04, 1,278.68 and 730.43

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Solution

The fourth proportional to 926.04, 1,278.68 and 730.43 is: 1,008.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.04 : 1,278.68 = 730.43 : x
  2. Step 2: Convert to fraction form
    926.04/1,278.68 = 730.43/x
  3. Step 3: Cross multiply
    926.04x = 1,278.68 × 730.43
  4. Step 4: Simplify right side
    926.04x = 933,980.98
  5. Step 5: Solve for x
    x = 933,980.98/926.04
  6. Step 6: Final answer
    x = 1,008.57

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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.