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Finding the Fourth Proportional to 815.32, 1,124.74 and 500.32

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Solution

The fourth proportional to 815.32, 1,124.74 and 500.32 is: 690.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.32 : 1,124.74 = 500.32 : x
  2. Step 2: Convert to fraction form
    815.32/1,124.74 = 500.32/x
  3. Step 3: Cross multiply
    815.32x = 1,124.74 × 500.32
  4. Step 4: Simplify right side
    815.32x = 562,729.92
  5. Step 5: Solve for x
    x = 562,729.92/815.32
  6. Step 6: Final answer
    x = 690.20

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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.