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Finding the Fourth Proportional to 1,290.32, 1,780.66 and 730.77

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Solution

The fourth proportional to 1,290.32, 1,780.66 and 730.77 is: 1,008.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.32 : 1,780.66 = 730.77 : x
  2. Step 2: Convert to fraction form
    1,290.32/1,780.66 = 730.77/x
  3. Step 3: Cross multiply
    1,290.32x = 1,780.66 × 730.77
  4. Step 4: Simplify right side
    1,290.32x = 1,301,252.91
  5. Step 5: Solve for x
    x = 1,301,252.91/1,290.32
  6. Step 6: Final answer
    x = 1,008.47

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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.