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Finding the Fourth Proportional to 696.30, 959.87 and 530.23

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Solution

The fourth proportional to 696.30, 959.87 and 530.23 is: 730.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.30 : 959.87 = 530.23 : x
  2. Step 2: Convert to fraction form
    696.30/959.87 = 530.23/x
  3. Step 3: Cross multiply
    696.30x = 959.87 × 530.23
  4. Step 4: Simplify right side
    696.30x = 508,951.87
  5. Step 5: Solve for x
    x = 508,951.87/696.30
  6. Step 6: Final answer
    x = 730.94

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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.