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Finding the Fourth Proportional to 978.98, 1,467.12 and 703.85

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Solution

The fourth proportional to 978.98, 1,467.12 and 703.85 is: 1,054.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.98 : 1,467.12 = 703.85 : x
  2. Step 2: Convert to fraction form
    978.98/1,467.12 = 703.85/x
  3. Step 3: Cross multiply
    978.98x = 1,467.12 × 703.85
  4. Step 4: Simplify right side
    978.98x = 1,032,632.41
  5. Step 5: Solve for x
    x = 1,032,632.41/978.98
  6. Step 6: Final answer
    x = 1,054.80

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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.