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Finding the Fourth Proportional to 984.04, 1,358.54 and 652.92

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Solution

The fourth proportional to 984.04, 1,358.54 and 652.92 is: 901.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.04 : 1,358.54 = 652.92 : x
  2. Step 2: Convert to fraction form
    984.04/1,358.54 = 652.92/x
  3. Step 3: Cross multiply
    984.04x = 1,358.54 × 652.92
  4. Step 4: Simplify right side
    984.04x = 887,011.14
  5. Step 5: Solve for x
    x = 887,011.14/984.04
  6. Step 6: Final answer
    x = 901.40

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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.