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Finding the Fourth Proportional to 1,025.59, 1,538.57 and 470.33

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Solution

The fourth proportional to 1,025.59, 1,538.57 and 470.33 is: 705.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.59 : 1,538.57 = 470.33 : x
  2. Step 2: Convert to fraction form
    1,025.59/1,538.57 = 470.33/x
  3. Step 3: Cross multiply
    1,025.59x = 1,538.57 × 470.33
  4. Step 4: Simplify right side
    1,025.59x = 723,635.63
  5. Step 5: Solve for x
    x = 723,635.63/1,025.59
  6. Step 6: Final answer
    x = 705.58

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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.