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Finding the Fourth Proportional to 1,141.74, 1,576.80 and 788.58

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Solution

The fourth proportional to 1,141.74, 1,576.80 and 788.58 is: 1,089.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.74 : 1,576.80 = 788.58 : x
  2. Step 2: Convert to fraction form
    1,141.74/1,576.80 = 788.58/x
  3. Step 3: Cross multiply
    1,141.74x = 1,576.80 × 788.58
  4. Step 4: Simplify right side
    1,141.74x = 1,243,432.94
  5. Step 5: Solve for x
    x = 1,243,432.94/1,141.74
  6. Step 6: Final answer
    x = 1,089.07

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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.