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Finding the Fourth Proportional to 656.16, 984.06 and 472.02

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Solution

The fourth proportional to 656.16, 984.06 and 472.02 is: 707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.16 : 984.06 = 472.02 : x
  2. Step 2: Convert to fraction form
    656.16/984.06 = 472.02/x
  3. Step 3: Cross multiply
    656.16x = 984.06 × 472.02
  4. Step 4: Simplify right side
    656.16x = 464,496.00
  5. Step 5: Solve for x
    x = 464,496.00/656.16
  6. Step 6: Final answer
    x = 707.90

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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.