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Finding the Fourth Proportional to 696.38, 960.57 and 509.58

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Solution

The fourth proportional to 696.38, 960.57 and 509.58 is: 702.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.38 : 960.57 = 509.58 : x
  2. Step 2: Convert to fraction form
    696.38/960.57 = 509.58/x
  3. Step 3: Cross multiply
    696.38x = 960.57 × 509.58
  4. Step 4: Simplify right side
    696.38x = 489,487.26
  5. Step 5: Solve for x
    x = 489,487.26/696.38
  6. Step 6: Final answer
    x = 702.91

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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.