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Finding the Fourth Proportional to 1,051.15, 1,451.56 and 678.77

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Solution

The fourth proportional to 1,051.15, 1,451.56 and 678.77 is: 937.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.15 : 1,451.56 = 678.77 : x
  2. Step 2: Convert to fraction form
    1,051.15/1,451.56 = 678.77/x
  3. Step 3: Cross multiply
    1,051.15x = 1,451.56 × 678.77
  4. Step 4: Simplify right side
    1,051.15x = 985,275.38
  5. Step 5: Solve for x
    x = 985,275.38/1,051.15
  6. Step 6: Final answer
    x = 937.33

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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.