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Finding the Fourth Proportional to 633, 873.60 and 500.40

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Solution

The fourth proportional to 633, 873.60 and 500.40 is: 690.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    633 : 873.60 = 500.40 : x
  2. Step 2: Convert to fraction form
    633/873.60 = 500.40/x
  3. Step 3: Cross multiply
    633x = 873.60 × 500.40
  4. Step 4: Simplify right side
    633x = 437,149.44
  5. Step 5: Solve for x
    x = 437,149.44/633
  6. Step 6: Final answer
    x = 690.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.