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Finding the Fourth Proportional to 1,301.58, 1,795.28 and 928.98

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Solution

The fourth proportional to 1,301.58, 1,795.28 and 928.98 is: 1,281.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.58 : 1,795.28 = 928.98 : x
  2. Step 2: Convert to fraction form
    1,301.58/1,795.28 = 928.98/x
  3. Step 3: Cross multiply
    1,301.58x = 1,795.28 × 928.98
  4. Step 4: Simplify right side
    1,301.58x = 1,667,774.57
  5. Step 5: Solve for x
    x = 1,667,774.57/1,301.58
  6. Step 6: Final answer
    x = 1,281.35

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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.