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Finding the Fourth Proportional to 1,315.78, 1,815.75 and 726.32

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Solution

The fourth proportional to 1,315.78, 1,815.75 and 726.32 is: 1,002.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.78 : 1,815.75 = 726.32 : x
  2. Step 2: Convert to fraction form
    1,315.78/1,815.75 = 726.32/x
  3. Step 3: Cross multiply
    1,315.78x = 1,815.75 × 726.32
  4. Step 4: Simplify right side
    1,315.78x = 1,318,812.82
  5. Step 5: Solve for x
    x = 1,318,812.82/1,315.78
  6. Step 6: Final answer
    x = 1,002.31

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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.