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Finding the Fourth Proportional to 2,312.64, 3,470.40 and 774.72

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Solution

The fourth proportional to 2,312.64, 3,470.40 and 774.72 is: 1,162.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.64 : 3,470.40 = 774.72 : x
  2. Step 2: Convert to fraction form
    2,312.64/3,470.40 = 774.72/x
  3. Step 3: Cross multiply
    2,312.64x = 3,470.40 × 774.72
  4. Step 4: Simplify right side
    2,312.64x = 2,688,588.29
  5. Step 5: Solve for x
    x = 2,688,588.29/2,312.64
  6. Step 6: Final answer
    x = 1,162.56

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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.