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Finding the Fourth Proportional to 835.59, 1,253.35 and 470.38

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Solution

The fourth proportional to 835.59, 1,253.35 and 470.38 is: 705.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.59 : 1,253.35 = 470.38 : x
  2. Step 2: Convert to fraction form
    835.59/1,253.35 = 470.38/x
  3. Step 3: Cross multiply
    835.59x = 1,253.35 × 470.38
  4. Step 4: Simplify right side
    835.59x = 589,550.77
  5. Step 5: Solve for x
    x = 589,550.77/835.59
  6. Step 6: Final answer
    x = 705.55

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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.