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Finding the Fourth Proportional to 1,400.53, 1,932.77 and 771.12

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Solution

The fourth proportional to 1,400.53, 1,932.77 and 771.12 is: 1,064.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.53 : 1,932.77 = 771.12 : x
  2. Step 2: Convert to fraction form
    1,400.53/1,932.77 = 771.12/x
  3. Step 3: Cross multiply
    1,400.53x = 1,932.77 × 771.12
  4. Step 4: Simplify right side
    1,400.53x = 1,490,397.60
  5. Step 5: Solve for x
    x = 1,490,397.60/1,400.53
  6. Step 6: Final answer
    x = 1,064.17

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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.