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Finding the Fourth Proportional to 873.24, 1,310.24 and 462.28

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Solution

The fourth proportional to 873.24, 1,310.24 and 462.28 is: 693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.24 : 1,310.24 = 462.28 : x
  2. Step 2: Convert to fraction form
    873.24/1,310.24 = 462.28/x
  3. Step 3: Cross multiply
    873.24x = 1,310.24 × 462.28
  4. Step 4: Simplify right side
    873.24x = 605,697.75
  5. Step 5: Solve for x
    x = 605,697.75/873.24
  6. Step 6: Final answer
    x = 693.62

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1.5x scale

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.