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Finding the Fourth Proportional to 703.51, 970.42 and 423.66

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Solution

The fourth proportional to 703.51, 970.42 and 423.66 is: 584.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.51 : 970.42 = 423.66 : x
  2. Step 2: Convert to fraction form
    703.51/970.42 = 423.66/x
  3. Step 3: Cross multiply
    703.51x = 970.42 × 423.66
  4. Step 4: Simplify right side
    703.51x = 411,128.14
  5. Step 5: Solve for x
    x = 411,128.14/703.51
  6. Step 6: Final answer
    x = 584.40

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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.