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Finding the Fourth Proportional to 902.86, 1,352.72 and 572.98

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Solution

The fourth proportional to 902.86, 1,352.72 and 572.98 is: 858.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.86 : 1,352.72 = 572.98 : x
  2. Step 2: Convert to fraction form
    902.86/1,352.72 = 572.98/x
  3. Step 3: Cross multiply
    902.86x = 1,352.72 × 572.98
  4. Step 4: Simplify right side
    902.86x = 775,081.51
  5. Step 5: Solve for x
    x = 775,081.51/902.86
  6. Step 6: Final answer
    x = 858.47

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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.