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Finding the Fourth Proportional to 710.70, 1,066.02 and 421.50

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Solution

The fourth proportional to 710.70, 1,066.02 and 421.50 is: 632.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.70 : 1,066.02 = 421.50 : x
  2. Step 2: Convert to fraction form
    710.70/1,066.02 = 421.50/x
  3. Step 3: Cross multiply
    710.70x = 1,066.02 × 421.50
  4. Step 4: Simplify right side
    710.70x = 449,327.43
  5. Step 5: Solve for x
    x = 449,327.43/710.70
  6. Step 6: Final answer
    x = 632.23

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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.