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Finding the Fourth Proportional to 945.99, 1,417.53 and 397.86

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Solution

The fourth proportional to 945.99, 1,417.53 and 397.86 is: 596.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.99 : 1,417.53 = 397.86 : x
  2. Step 2: Convert to fraction form
    945.99/1,417.53 = 397.86/x
  3. Step 3: Cross multiply
    945.99x = 1,417.53 × 397.86
  4. Step 4: Simplify right side
    945.99x = 563,978.49
  5. Step 5: Solve for x
    x = 563,978.49/945.99
  6. Step 6: Final answer
    x = 596.18

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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.