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Finding the Fourth Proportional to 1,009.49, 1,510.99 and 862.97

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Solution

The fourth proportional to 1,009.49, 1,510.99 and 862.97 is: 1,291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.49 : 1,510.99 = 862.97 : x
  2. Step 2: Convert to fraction form
    1,009.49/1,510.99 = 862.97/x
  3. Step 3: Cross multiply
    1,009.49x = 1,510.99 × 862.97
  4. Step 4: Simplify right side
    1,009.49x = 1,303,929.33
  5. Step 5: Solve for x
    x = 1,303,929.33/1,009.49
  6. Step 6: Final answer
    x = 1,291.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.