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Finding the Fourth Proportional to 1,009.70, 1,513.74 and 928.70

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Solution

The fourth proportional to 1,009.70, 1,513.74 and 928.70 is: 1,392.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.70 : 1,513.74 = 928.70 : x
  2. Step 2: Convert to fraction form
    1,009.70/1,513.74 = 928.70/x
  3. Step 3: Cross multiply
    1,009.70x = 1,513.74 × 928.70
  4. Step 4: Simplify right side
    1,009.70x = 1,405,810.34
  5. Step 5: Solve for x
    x = 1,405,810.34/1,009.70
  6. Step 6: Final answer
    x = 1,392.30

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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.