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Finding the Fourth Proportional to 1,315.48, 1,815.48 and 726.16

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Solution

The fourth proportional to 1,315.48, 1,815.48 and 726.16 is: 1,002.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.48 : 1,815.48 = 726.16 : x
  2. Step 2: Convert to fraction form
    1,315.48/1,815.48 = 726.16/x
  3. Step 3: Cross multiply
    1,315.48x = 1,815.48 × 726.16
  4. Step 4: Simplify right side
    1,315.48x = 1,318,328.96
  5. Step 5: Solve for x
    x = 1,318,328.96/1,315.48
  6. Step 6: Final answer
    x = 1,002.17

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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.