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Finding the Fourth Proportional to 1,047.80, 1,569.27 and 930.56

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Solution

The fourth proportional to 1,047.80, 1,569.27 and 930.56 is: 1,393.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.80 : 1,569.27 = 930.56 : x
  2. Step 2: Convert to fraction form
    1,047.80/1,569.27 = 930.56/x
  3. Step 3: Cross multiply
    1,047.80x = 1,569.27 × 930.56
  4. Step 4: Simplify right side
    1,047.80x = 1,460,295.53
  5. Step 5: Solve for x
    x = 1,460,295.53/1,047.80
  6. Step 6: Final answer
    x = 1,393.67

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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.