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Finding the Fourth Proportional to 918.47, 1,265.36 and 760.20

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Solution

The fourth proportional to 918.47, 1,265.36 and 760.20 is: 1,047.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.47 : 1,265.36 = 760.20 : x
  2. Step 2: Convert to fraction form
    918.47/1,265.36 = 760.20/x
  3. Step 3: Cross multiply
    918.47x = 1,265.36 × 760.20
  4. Step 4: Simplify right side
    918.47x = 961,922.87
  5. Step 5: Solve for x
    x = 961,922.87/918.47
  6. Step 6: Final answer
    x = 1,047.32

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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.