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Finding the Fourth Proportional to 848.03, 1,272.48 and 642.53

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Solution

The fourth proportional to 848.03, 1,272.48 and 642.53 is: 964.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.03 : 1,272.48 = 642.53 : x
  2. Step 2: Convert to fraction form
    848.03/1,272.48 = 642.53/x
  3. Step 3: Cross multiply
    848.03x = 1,272.48 × 642.53
  4. Step 4: Simplify right side
    848.03x = 817,606.57
  5. Step 5: Solve for x
    x = 817,606.57/848.03
  6. Step 6: Final answer
    x = 964.12

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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.