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Finding the Fourth Proportional to 697.61, 962.93 and 435.63

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Solution

The fourth proportional to 697.61, 962.93 and 435.63 is: 601.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.61 : 962.93 = 435.63 : x
  2. Step 2: Convert to fraction form
    697.61/962.93 = 435.63/x
  3. Step 3: Cross multiply
    697.61x = 962.93 × 435.63
  4. Step 4: Simplify right side
    697.61x = 419,476.38
  5. Step 5: Solve for x
    x = 419,476.38/697.61
  6. Step 6: Final answer
    x = 601.31

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Double scale
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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.