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Finding the Fourth Proportional to 968.83, 1,445.62 and 910.06

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Solution

The fourth proportional to 968.83, 1,445.62 and 910.06 is: 1,357.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.83 : 1,445.62 = 910.06 : x
  2. Step 2: Convert to fraction form
    968.83/1,445.62 = 910.06/x
  3. Step 3: Cross multiply
    968.83x = 1,445.62 × 910.06
  4. Step 4: Simplify right side
    968.83x = 1,315,600.94
  5. Step 5: Solve for x
    x = 1,315,600.94/968.83
  6. Step 6: Final answer
    x = 1,357.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.