Home / 1,156.72-1,734.40-463.36

Finding the Fourth Proportional to 1,156.72, 1,734.40 and 463.36

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Solution

The fourth proportional to 1,156.72, 1,734.40 and 463.36 is: 694.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.72 : 1,734.40 = 463.36 : x
  2. Step 2: Convert to fraction form
    1,156.72/1,734.40 = 463.36/x
  3. Step 3: Cross multiply
    1,156.72x = 1,734.40 × 463.36
  4. Step 4: Simplify right side
    1,156.72x = 803,651.58
  5. Step 5: Solve for x
    x = 803,651.58/1,156.72
  6. Step 6: Final answer
    x = 694.77

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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.