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Finding the Fourth Proportional to 1,477.72, 2,217.35 and 656.56

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Solution

The fourth proportional to 1,477.72, 2,217.35 and 656.56 is: 985.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.72 : 2,217.35 = 656.56 : x
  2. Step 2: Convert to fraction form
    1,477.72/2,217.35 = 656.56/x
  3. Step 3: Cross multiply
    1,477.72x = 2,217.35 × 656.56
  4. Step 4: Simplify right side
    1,477.72x = 1,455,823.32
  5. Step 5: Solve for x
    x = 1,455,823.32/1,477.72
  6. Step 6: Final answer
    x = 985.18

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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.