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Finding the Fourth Proportional to 926.73, 1,277.82 and 870.23

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Solution

The fourth proportional to 926.73, 1,277.82 and 870.23 is: 1,199.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.73 : 1,277.82 = 870.23 : x
  2. Step 2: Convert to fraction form
    926.73/1,277.82 = 870.23/x
  3. Step 3: Cross multiply
    926.73x = 1,277.82 × 870.23
  4. Step 4: Simplify right side
    926.73x = 1,111,990.91
  5. Step 5: Solve for x
    x = 1,111,990.91/926.73
  6. Step 6: Final answer
    x = 1,199.91

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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.