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Finding the Fourth Proportional to 1,437.35, 1,983.34 and 807.79

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Solution

The fourth proportional to 1,437.35, 1,983.34 and 807.79 is: 1,114.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.35 : 1,983.34 = 807.79 : x
  2. Step 2: Convert to fraction form
    1,437.35/1,983.34 = 807.79/x
  3. Step 3: Cross multiply
    1,437.35x = 1,983.34 × 807.79
  4. Step 4: Simplify right side
    1,437.35x = 1,602,109.08
  5. Step 5: Solve for x
    x = 1,602,109.08/1,437.35
  6. Step 6: Final answer
    x = 1,114.63

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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.