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Finding the Fourth Proportional to 706.88, 1,054.42 and 619.40

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Solution

The fourth proportional to 706.88, 1,054.42 and 619.40 is: 923.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.88 : 1,054.42 = 619.40 : x
  2. Step 2: Convert to fraction form
    706.88/1,054.42 = 619.40/x
  3. Step 3: Cross multiply
    706.88x = 1,054.42 × 619.40
  4. Step 4: Simplify right side
    706.88x = 653,107.75
  5. Step 5: Solve for x
    x = 653,107.75/706.88
  6. Step 6: Final answer
    x = 923.93

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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.