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Finding the Fourth Proportional to 1,025.65, 1,539.18 and 470.42

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Solution

The fourth proportional to 1,025.65, 1,539.18 and 470.42 is: 705.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.65 : 1,539.18 = 470.42 : x
  2. Step 2: Convert to fraction form
    1,025.65/1,539.18 = 470.42/x
  3. Step 3: Cross multiply
    1,025.65x = 1,539.18 × 470.42
  4. Step 4: Simplify right side
    1,025.65x = 724,058.70
  5. Step 5: Solve for x
    x = 724,058.70/1,025.65
  6. Step 6: Final answer
    x = 705.95

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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.