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Finding the Fourth Proportional to 945.84, 1,417.83 and 398.40

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Solution

The fourth proportional to 945.84, 1,417.83 and 398.40 is: 597.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.84 : 1,417.83 = 398.40 : x
  2. Step 2: Convert to fraction form
    945.84/1,417.83 = 398.40/x
  3. Step 3: Cross multiply
    945.84x = 1,417.83 × 398.40
  4. Step 4: Simplify right side
    945.84x = 564,863.47
  5. Step 5: Solve for x
    x = 564,863.47/945.84
  6. Step 6: Final answer
    x = 597.21

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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.