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Finding the Fourth Proportional to 1,001.99, 1,508.54 and 783.80

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Solution

The fourth proportional to 1,001.99, 1,508.54 and 783.80 is: 1,180.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.99 : 1,508.54 = 783.80 : x
  2. Step 2: Convert to fraction form
    1,001.99/1,508.54 = 783.80/x
  3. Step 3: Cross multiply
    1,001.99x = 1,508.54 × 783.80
  4. Step 4: Simplify right side
    1,001.99x = 1,182,393.65
  5. Step 5: Solve for x
    x = 1,182,393.65/1,001.99
  6. Step 6: Final answer
    x = 1,180.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.