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Finding the Fourth Proportional to 462.35, 690.38 and 374.69

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Solution

The fourth proportional to 462.35, 690.38 and 374.69 is: 559.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.35 : 690.38 = 374.69 : x
  2. Step 2: Convert to fraction form
    462.35/690.38 = 374.69/x
  3. Step 3: Cross multiply
    462.35x = 690.38 × 374.69
  4. Step 4: Simplify right side
    462.35x = 258,681.16
  5. Step 5: Solve for x
    x = 258,681.16/462.35
  6. Step 6: Final answer
    x = 559.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.