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Finding the Fourth Proportional to 954.27, 1,315.10 and 765

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Solution

The fourth proportional to 954.27, 1,315.10 and 765 is: 1,054.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.27 : 1,315.10 = 765 : x
  2. Step 2: Convert to fraction form
    954.27/1,315.10 = 765/x
  3. Step 3: Cross multiply
    954.27x = 1,315.10 × 765
  4. Step 4: Simplify right side
    954.27x = 1,006,047.68
  5. Step 5: Solve for x
    x = 1,006,047.68/954.27
  6. Step 6: Final answer
    x = 1,054.26

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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.