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Finding the Fourth Proportional to 696.24, 1,038.87 and 692.19

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Solution

The fourth proportional to 696.24, 1,038.87 and 692.19 is: 1,032.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.24 : 1,038.87 = 692.19 : x
  2. Step 2: Convert to fraction form
    696.24/1,038.87 = 692.19/x
  3. Step 3: Cross multiply
    696.24x = 1,038.87 × 692.19
  4. Step 4: Simplify right side
    696.24x = 719,095.43
  5. Step 5: Solve for x
    x = 719,095.43/696.24
  6. Step 6: Final answer
    x = 1,032.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.