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Finding the Fourth Proportional to 848.16, 1,272.36 and 437.34

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Solution

The fourth proportional to 848.16, 1,272.36 and 437.34 is: 656.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.16 : 1,272.36 = 437.34 : x
  2. Step 2: Convert to fraction form
    848.16/1,272.36 = 437.34/x
  3. Step 3: Cross multiply
    848.16x = 1,272.36 × 437.34
  4. Step 4: Simplify right side
    848.16x = 556,453.92
  5. Step 5: Solve for x
    x = 556,453.92/848.16
  6. Step 6: Final answer
    x = 656.07

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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.