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Finding the Fourth Proportional to 656.07, 983.34 and 309.18

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Solution

The fourth proportional to 656.07, 983.34 and 309.18 is: 463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.07 : 983.34 = 309.18 : x
  2. Step 2: Convert to fraction form
    656.07/983.34 = 309.18/x
  3. Step 3: Cross multiply
    656.07x = 983.34 × 309.18
  4. Step 4: Simplify right side
    656.07x = 304,032.75
  5. Step 5: Solve for x
    x = 304,032.75/656.07
  6. Step 6: Final answer
    x = 463.42

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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.