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Finding the Fourth Proportional to 708.53, 1,062.40 and 214.87

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Solution

The fourth proportional to 708.53, 1,062.40 and 214.87 is: 322.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.53 : 1,062.40 = 214.87 : x
  2. Step 2: Convert to fraction form
    708.53/1,062.40 = 214.87/x
  3. Step 3: Cross multiply
    708.53x = 1,062.40 × 214.87
  4. Step 4: Simplify right side
    708.53x = 228,277.89
  5. Step 5: Solve for x
    x = 228,277.89/708.53
  6. Step 6: Final answer
    x = 322.19

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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.