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Finding the Fourth Proportional to 697.14, 962.01 and 417.40

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Solution

The fourth proportional to 697.14, 962.01 and 417.40 is: 575.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.14 : 962.01 = 417.40 : x
  2. Step 2: Convert to fraction form
    697.14/962.01 = 417.40/x
  3. Step 3: Cross multiply
    697.14x = 962.01 × 417.40
  4. Step 4: Simplify right side
    697.14x = 401,540.57
  5. Step 5: Solve for x
    x = 401,540.57/697.14
  6. Step 6: Final answer
    x = 575.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.