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Finding the Fourth Proportional to 1,065.64, 1,470.07 and 640.05

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Solution

The fourth proportional to 1,065.64, 1,470.07 and 640.05 is: 882.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.64 : 1,470.07 = 640.05 : x
  2. Step 2: Convert to fraction form
    1,065.64/1,470.07 = 640.05/x
  3. Step 3: Cross multiply
    1,065.64x = 1,470.07 × 640.05
  4. Step 4: Simplify right side
    1,065.64x = 940,916.70
  5. Step 5: Solve for x
    x = 940,916.70/1,065.64
  6. Step 6: Final answer
    x = 882.96

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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.