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Finding the Fourth Proportional to 697.53, 962.78 and 461.51

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Solution

The fourth proportional to 697.53, 962.78 and 461.51 is: 637.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.53 : 962.78 = 461.51 : x
  2. Step 2: Convert to fraction form
    697.53/962.78 = 461.51/x
  3. Step 3: Cross multiply
    697.53x = 962.78 × 461.51
  4. Step 4: Simplify right side
    697.53x = 444,332.60
  5. Step 5: Solve for x
    x = 444,332.60/697.53
  6. Step 6: Final answer
    x = 637.01

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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.