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Finding the Fourth Proportional to 706.23, 1,057.95 and 653.06

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Solution

The fourth proportional to 706.23, 1,057.95 and 653.06 is: 978.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.23 : 1,057.95 = 653.06 : x
  2. Step 2: Convert to fraction form
    706.23/1,057.95 = 653.06/x
  3. Step 3: Cross multiply
    706.23x = 1,057.95 × 653.06
  4. Step 4: Simplify right side
    706.23x = 690,907.47
  5. Step 5: Solve for x
    x = 690,907.47/706.23
  6. Step 6: Final answer
    x = 978.30

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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.