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Finding the Fourth Proportional to 945.96, 1,417.71 and 398.01

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Solution

The fourth proportional to 945.96, 1,417.71 and 398.01 is: 596.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.96 : 1,417.71 = 398.01 : x
  2. Step 2: Convert to fraction form
    945.96/1,417.71 = 398.01/x
  3. Step 3: Cross multiply
    945.96x = 1,417.71 × 398.01
  4. Step 4: Simplify right side
    945.96x = 564,262.76
  5. Step 5: Solve for x
    x = 564,262.76/945.96
  6. Step 6: Final answer
    x = 596.50

Related Problems

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Half scale
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Double scale
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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.