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Finding the Fourth Proportional to 697.54, 961.74 and 435.10

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Solution

The fourth proportional to 697.54, 961.74 and 435.10 is: 599.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.54 : 961.74 = 435.10 : x
  2. Step 2: Convert to fraction form
    697.54/961.74 = 435.10/x
  3. Step 3: Cross multiply
    697.54x = 961.74 × 435.10
  4. Step 4: Simplify right side
    697.54x = 418,453.07
  5. Step 5: Solve for x
    x = 418,453.07/697.54
  6. Step 6: Final answer
    x = 599.90

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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.