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Finding the Fourth Proportional to 582.96, 873.90 and 462

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Solution

The fourth proportional to 582.96, 873.90 and 462 is: 692.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.96 : 873.90 = 462 : x
  2. Step 2: Convert to fraction form
    582.96/873.90 = 462/x
  3. Step 3: Cross multiply
    582.96x = 873.90 × 462
  4. Step 4: Simplify right side
    582.96x = 403,741.80
  5. Step 5: Solve for x
    x = 403,741.80/582.96
  6. Step 6: Final answer
    x = 692.57

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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.