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Finding the Fourth Proportional to 848.98, 1,272.36 and 524.56

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Solution

The fourth proportional to 848.98, 1,272.36 and 524.56 is: 786.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.98 : 1,272.36 = 524.56 : x
  2. Step 2: Convert to fraction form
    848.98/1,272.36 = 524.56/x
  3. Step 3: Cross multiply
    848.98x = 1,272.36 × 524.56
  4. Step 4: Simplify right side
    848.98x = 667,429.16
  5. Step 5: Solve for x
    x = 667,429.16/848.98
  6. Step 6: Final answer
    x = 786.15

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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.