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Finding the Fourth Proportional to 703.89, 970.90 and 423.93

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Solution

The fourth proportional to 703.89, 970.90 and 423.93 is: 584.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.89 : 970.90 = 423.93 : x
  2. Step 2: Convert to fraction form
    703.89/970.90 = 423.93/x
  3. Step 3: Cross multiply
    703.89x = 970.90 × 423.93
  4. Step 4: Simplify right side
    703.89x = 411,593.64
  5. Step 5: Solve for x
    x = 411,593.64/703.89
  6. Step 6: Final answer
    x = 584.75

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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.