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Finding the Fourth Proportional to 462.06, 693.68 and 459.77

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Solution

The fourth proportional to 462.06, 693.68 and 459.77 is: 690.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.06 : 693.68 = 459.77 : x
  2. Step 2: Convert to fraction form
    462.06/693.68 = 459.77/x
  3. Step 3: Cross multiply
    462.06x = 693.68 × 459.77
  4. Step 4: Simplify right side
    462.06x = 318,927.49
  5. Step 5: Solve for x
    x = 318,927.49/462.06
  6. Step 6: Final answer
    x = 690.23

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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.