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Finding the Fourth Proportional to 697.18, 962.38 and 448.50

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Solution

The fourth proportional to 697.18, 962.38 and 448.50 is: 619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.18 : 962.38 = 448.50 : x
  2. Step 2: Convert to fraction form
    697.18/962.38 = 448.50/x
  3. Step 3: Cross multiply
    697.18x = 962.38 × 448.50
  4. Step 4: Simplify right side
    697.18x = 431,627.43
  5. Step 5: Solve for x
    x = 431,627.43/697.18
  6. Step 6: Final answer
    x = 619.10

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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.