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Finding the Fourth Proportional to 945.67, 1,417.06 and 397.56

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Solution

The fourth proportional to 945.67, 1,417.06 and 397.56 is: 595.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.67 : 1,417.06 = 397.56 : x
  2. Step 2: Convert to fraction form
    945.67/1,417.06 = 397.56/x
  3. Step 3: Cross multiply
    945.67x = 1,417.06 × 397.56
  4. Step 4: Simplify right side
    945.67x = 563,359.29
  5. Step 5: Solve for x
    x = 563,359.29/945.67
  6. Step 6: Final answer
    x = 595.73

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1.5x scale

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.