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Finding the Fourth Proportional to 945.42, 1,416.67 and 397.30

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Solution

The fourth proportional to 945.42, 1,416.67 and 397.30 is: 595.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.42 : 1,416.67 = 397.30 : x
  2. Step 2: Convert to fraction form
    945.42/1,416.67 = 397.30/x
  3. Step 3: Cross multiply
    945.42x = 1,416.67 × 397.30
  4. Step 4: Simplify right side
    945.42x = 562,842.99
  5. Step 5: Solve for x
    x = 562,842.99/945.42
  6. Step 6: Final answer
    x = 595.34

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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.