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Finding the Fourth Proportional to 722.90, 1,083.58 and 462.08

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Solution

The fourth proportional to 722.90, 1,083.58 and 462.08 is: 692.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.90 : 1,083.58 = 462.08 : x
  2. Step 2: Convert to fraction form
    722.90/1,083.58 = 462.08/x
  3. Step 3: Cross multiply
    722.90x = 1,083.58 × 462.08
  4. Step 4: Simplify right side
    722.90x = 500,702.20
  5. Step 5: Solve for x
    x = 500,702.20/722.90
  6. Step 6: Final answer
    x = 692.63

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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.