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Finding the Fourth Proportional to 1,807.58, 2,711.80 and 929.72

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Solution

The fourth proportional to 1,807.58, 2,711.80 and 929.72 is: 1,394.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.58 : 2,711.80 = 929.72 : x
  2. Step 2: Convert to fraction form
    1,807.58/2,711.80 = 929.72/x
  3. Step 3: Cross multiply
    1,807.58x = 2,711.80 × 929.72
  4. Step 4: Simplify right side
    1,807.58x = 2,521,214.70
  5. Step 5: Solve for x
    x = 2,521,214.70/1,807.58
  6. Step 6: Final answer
    x = 1,394.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.