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Finding the Fourth Proportional to 814.60, 1,124.28 and 500.05

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Solution

The fourth proportional to 814.60, 1,124.28 and 500.05 is: 690.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.60 : 1,124.28 = 500.05 : x
  2. Step 2: Convert to fraction form
    814.60/1,124.28 = 500.05/x
  3. Step 3: Cross multiply
    814.60x = 1,124.28 × 500.05
  4. Step 4: Simplify right side
    814.60x = 562,196.21
  5. Step 5: Solve for x
    x = 562,196.21/814.60
  6. Step 6: Final answer
    x = 690.15

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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.