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Finding the Fourth Proportional to 1,558.95, 2,338.89 and 463.35

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Solution

The fourth proportional to 1,558.95, 2,338.89 and 463.35 is: 695.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.95 : 2,338.89 = 463.35 : x
  2. Step 2: Convert to fraction form
    1,558.95/2,338.89 = 463.35/x
  3. Step 3: Cross multiply
    1,558.95x = 2,338.89 × 463.35
  4. Step 4: Simplify right side
    1,558.95x = 1,083,724.68
  5. Step 5: Solve for x
    x = 1,083,724.68/1,558.95
  6. Step 6: Final answer
    x = 695.16

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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.