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Finding the Fourth Proportional to 697.24, 961.62 and 510.28

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Solution

The fourth proportional to 697.24, 961.62 and 510.28 is: 703.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.24 : 961.62 = 510.28 : x
  2. Step 2: Convert to fraction form
    697.24/961.62 = 510.28/x
  3. Step 3: Cross multiply
    697.24x = 961.62 × 510.28
  4. Step 4: Simplify right side
    697.24x = 490,695.45
  5. Step 5: Solve for x
    x = 490,695.45/697.24
  6. Step 6: Final answer
    x = 703.77

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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.