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Finding the Fourth Proportional to 1,290.53, 1,780.30 and 766.19

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Solution

The fourth proportional to 1,290.53, 1,780.30 and 766.19 is: 1,056.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.53 : 1,780.30 = 766.19 : x
  2. Step 2: Convert to fraction form
    1,290.53/1,780.30 = 766.19/x
  3. Step 3: Cross multiply
    1,290.53x = 1,780.30 × 766.19
  4. Step 4: Simplify right side
    1,290.53x = 1,364,048.06
  5. Step 5: Solve for x
    x = 1,364,048.06/1,290.53
  6. Step 6: Final answer
    x = 1,056.97

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Half scale
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Double scale
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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.