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Finding the Fourth Proportional to 945.26, 1,417.93 and 579.82

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Solution

The fourth proportional to 945.26, 1,417.93 and 579.82 is: 869.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.26 : 1,417.93 = 579.82 : x
  2. Step 2: Convert to fraction form
    945.26/1,417.93 = 579.82/x
  3. Step 3: Cross multiply
    945.26x = 1,417.93 × 579.82
  4. Step 4: Simplify right side
    945.26x = 822,144.17
  5. Step 5: Solve for x
    x = 822,144.17/945.26
  6. Step 6: Final answer
    x = 869.75

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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.