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Finding the Fourth Proportional to 465.40, 697.08 and 383.32

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Solution

The fourth proportional to 465.40, 697.08 and 383.32 is: 574.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.40 : 697.08 = 383.32 : x
  2. Step 2: Convert to fraction form
    465.40/697.08 = 383.32/x
  3. Step 3: Cross multiply
    465.40x = 697.08 × 383.32
  4. Step 4: Simplify right side
    465.40x = 267,204.71
  5. Step 5: Solve for x
    x = 267,204.71/465.40
  6. Step 6: Final answer
    x = 574.14

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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.