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Finding the Fourth Proportional to 945.13, 1,417.70 and 559.21

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Solution

The fourth proportional to 945.13, 1,417.70 and 559.21 is: 838.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.13 : 1,417.70 = 559.21 : x
  2. Step 2: Convert to fraction form
    945.13/1,417.70 = 559.21/x
  3. Step 3: Cross multiply
    945.13x = 1,417.70 × 559.21
  4. Step 4: Simplify right side
    945.13x = 792,789.22
  5. Step 5: Solve for x
    x = 792,789.22/945.13
  6. Step 6: Final answer
    x = 838.82

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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.