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Finding the Fourth Proportional to 978.55, 1,474.07 and 882.36

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Solution

The fourth proportional to 978.55, 1,474.07 and 882.36 is: 1,329.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.55 : 1,474.07 = 882.36 : x
  2. Step 2: Convert to fraction form
    978.55/1,474.07 = 882.36/x
  3. Step 3: Cross multiply
    978.55x = 1,474.07 × 882.36
  4. Step 4: Simplify right side
    978.55x = 1,300,655.99
  5. Step 5: Solve for x
    x = 1,300,655.99/978.55
  6. Step 6: Final answer
    x = 1,329.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.