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Finding the Fourth Proportional to 1,271.29, 1,904.85 and 783.31

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Solution

The fourth proportional to 1,271.29, 1,904.85 and 783.31 is: 1,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.29 : 1,904.85 = 783.31 : x
  2. Step 2: Convert to fraction form
    1,271.29/1,904.85 = 783.31/x
  3. Step 3: Cross multiply
    1,271.29x = 1,904.85 × 783.31
  4. Step 4: Simplify right side
    1,271.29x = 1,492,088.05
  5. Step 5: Solve for x
    x = 1,492,088.05/1,271.29
  6. Step 6: Final answer
    x = 1,173.68

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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.