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Finding the Fourth Proportional to 703.02, 970.08 and 408.18

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Solution

The fourth proportional to 703.02, 970.08 and 408.18 is: 563.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.02 : 970.08 = 408.18 : x
  2. Step 2: Convert to fraction form
    703.02/970.08 = 408.18/x
  3. Step 3: Cross multiply
    703.02x = 970.08 × 408.18
  4. Step 4: Simplify right side
    703.02x = 395,967.25
  5. Step 5: Solve for x
    x = 395,967.25/703.02
  6. Step 6: Final answer
    x = 563.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.