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Finding the Fourth Proportional to 656.30, 984.68 and 291.35

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Solution

The fourth proportional to 656.30, 984.68 and 291.35 is: 437.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.30 : 984.68 = 291.35 : x
  2. Step 2: Convert to fraction form
    656.30/984.68 = 291.35/x
  3. Step 3: Cross multiply
    656.30x = 984.68 × 291.35
  4. Step 4: Simplify right side
    656.30x = 286,881.23
  5. Step 5: Solve for x
    x = 286,881.23/656.30
  6. Step 6: Final answer
    x = 437.12

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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.