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Finding the Fourth Proportional to 945.95, 1,417.37 and 909.95

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Solution

The fourth proportional to 945.95, 1,417.37 and 909.95 is: 1,363.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.95 : 1,417.37 = 909.95 : x
  2. Step 2: Convert to fraction form
    945.95/1,417.37 = 909.95/x
  3. Step 3: Cross multiply
    945.95x = 1,417.37 × 909.95
  4. Step 4: Simplify right side
    945.95x = 1,289,724.19
  5. Step 5: Solve for x
    x = 1,289,724.19/945.95
  6. Step 6: Final answer
    x = 1,363.42

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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.