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Finding the Fourth Proportional to 1,302.34, 1,795.36 and 928.67

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Solution

The fourth proportional to 1,302.34, 1,795.36 and 928.67 is: 1,280.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.34 : 1,795.36 = 928.67 : x
  2. Step 2: Convert to fraction form
    1,302.34/1,795.36 = 928.67/x
  3. Step 3: Cross multiply
    1,302.34x = 1,795.36 × 928.67
  4. Step 4: Simplify right side
    1,302.34x = 1,667,292.41
  5. Step 5: Solve for x
    x = 1,667,292.41/1,302.34
  6. Step 6: Final answer
    x = 1,280.23

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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.