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Finding the Fourth Proportional to 461.57, 697.40 and 457.12

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Solution

The fourth proportional to 461.57, 697.40 and 457.12 is: 690.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.57 : 697.40 = 457.12 : x
  2. Step 2: Convert to fraction form
    461.57/697.40 = 457.12/x
  3. Step 3: Cross multiply
    461.57x = 697.40 × 457.12
  4. Step 4: Simplify right side
    461.57x = 318,792.00
  5. Step 5: Solve for x
    x = 318,792.00/461.57
  6. Step 6: Final answer
    x = 690.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.