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Finding the Fourth Proportional to 1,306.84, 1,803.49 and 776

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Solution

The fourth proportional to 1,306.84, 1,803.49 and 776 is: 1,070.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.84 : 1,803.49 = 776 : x
  2. Step 2: Convert to fraction form
    1,306.84/1,803.49 = 776/x
  3. Step 3: Cross multiply
    1,306.84x = 1,803.49 × 776
  4. Step 4: Simplify right side
    1,306.84x = 1,399,508.24
  5. Step 5: Solve for x
    x = 1,399,508.24/1,306.84
  6. Step 6: Final answer
    x = 1,070.91

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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.