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Finding the Fourth Proportional to 697.51, 962.16 and 614.82

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Solution

The fourth proportional to 697.51, 962.16 and 614.82 is: 848.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.51 : 962.16 = 614.82 : x
  2. Step 2: Convert to fraction form
    697.51/962.16 = 614.82/x
  3. Step 3: Cross multiply
    697.51x = 962.16 × 614.82
  4. Step 4: Simplify right side
    697.51x = 591,555.21
  5. Step 5: Solve for x
    x = 591,555.21/697.51
  6. Step 6: Final answer
    x = 848.10

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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.