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Finding the Fourth Proportional to 1,047.75, 1,569.20 and 830.67

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Solution

The fourth proportional to 1,047.75, 1,569.20 and 830.67 is: 1,244.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.75 : 1,569.20 = 830.67 : x
  2. Step 2: Convert to fraction form
    1,047.75/1,569.20 = 830.67/x
  3. Step 3: Cross multiply
    1,047.75x = 1,569.20 × 830.67
  4. Step 4: Simplify right side
    1,047.75x = 1,303,483.21
  5. Step 5: Solve for x
    x = 1,303,483.21/1,047.75
  6. Step 6: Final answer
    x = 1,244.08

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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.