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Finding the Fourth Proportional to 697.51, 962.78 and 402.98

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Solution

The fourth proportional to 697.51, 962.78 and 402.98 is: 556.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.51 : 962.78 = 402.98 : x
  2. Step 2: Convert to fraction form
    697.51/962.78 = 402.98/x
  3. Step 3: Cross multiply
    697.51x = 962.78 × 402.98
  4. Step 4: Simplify right side
    697.51x = 387,979.07
  5. Step 5: Solve for x
    x = 387,979.07/697.51
  6. Step 6: Final answer
    x = 556.24

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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.