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Finding the Fourth Proportional to 1,011.76, 1,507.70 and 978.73

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Solution

The fourth proportional to 1,011.76, 1,507.70 and 978.73 is: 1,458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.76 : 1,507.70 = 978.73 : x
  2. Step 2: Convert to fraction form
    1,011.76/1,507.70 = 978.73/x
  3. Step 3: Cross multiply
    1,011.76x = 1,507.70 × 978.73
  4. Step 4: Simplify right side
    1,011.76x = 1,475,631.22
  5. Step 5: Solve for x
    x = 1,475,631.22/1,011.76
  6. Step 6: Final answer
    x = 1,458.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.