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Finding the Fourth Proportional to 1,126.32, 1,553.68 and 776.40

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Solution

The fourth proportional to 1,126.32, 1,553.68 and 776.40 is: 1,070.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.32 : 1,553.68 = 776.40 : x
  2. Step 2: Convert to fraction form
    1,126.32/1,553.68 = 776.40/x
  3. Step 3: Cross multiply
    1,126.32x = 1,553.68 × 776.40
  4. Step 4: Simplify right side
    1,126.32x = 1,206,277.15
  5. Step 5: Solve for x
    x = 1,206,277.15/1,126.32
  6. Step 6: Final answer
    x = 1,070.99

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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.