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Finding the Fourth Proportional to 1,470.58, 2,205.86 and 374.94

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Solution

The fourth proportional to 1,470.58, 2,205.86 and 374.94 is: 562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.58 : 2,205.86 = 374.94 : x
  2. Step 2: Convert to fraction form
    1,470.58/2,205.86 = 374.94/x
  3. Step 3: Cross multiply
    1,470.58x = 2,205.86 × 374.94
  4. Step 4: Simplify right side
    1,470.58x = 827,059.71
  5. Step 5: Solve for x
    x = 827,059.71/1,470.58
  6. Step 6: Final answer
    x = 562.40

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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.