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Finding the Fourth Proportional to 945.14, 1,417.16 and 397.17

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Solution

The fourth proportional to 945.14, 1,417.16 and 397.17 is: 595.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.14 : 1,417.16 = 397.17 : x
  2. Step 2: Convert to fraction form
    945.14/1,417.16 = 397.17/x
  3. Step 3: Cross multiply
    945.14x = 1,417.16 × 397.17
  4. Step 4: Simplify right side
    945.14x = 562,854.43
  5. Step 5: Solve for x
    x = 562,854.43/945.14
  6. Step 6: Final answer
    x = 595.53

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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.