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Finding the Fourth Proportional to 735.90, 979.40 and 735.90

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Solution

The fourth proportional to 735.90, 979.40 and 735.90 is: 979.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.90 : 979.40 = 735.90 : x
  2. Step 2: Convert to fraction form
    735.90/979.40 = 735.90/x
  3. Step 3: Cross multiply
    735.90x = 979.40 × 735.90
  4. Step 4: Simplify right side
    735.90x = 720,740.46
  5. Step 5: Solve for x
    x = 720,740.46/735.90
  6. Step 6: Final answer
    x = 979.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.