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Finding the Fourth Proportional to 1,291.32, 1,782.24 and 767.28

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Solution

The fourth proportional to 1,291.32, 1,782.24 and 767.28 is: 1,058.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.32 : 1,782.24 = 767.28 : x
  2. Step 2: Convert to fraction form
    1,291.32/1,782.24 = 767.28/x
  3. Step 3: Cross multiply
    1,291.32x = 1,782.24 × 767.28
  4. Step 4: Simplify right side
    1,291.32x = 1,367,477.11
  5. Step 5: Solve for x
    x = 1,367,477.11/1,291.32
  6. Step 6: Final answer
    x = 1,058.98

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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.