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Finding the Fourth Proportional to 692.56, 954.80 and 503.32

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Solution

The fourth proportional to 692.56, 954.80 and 503.32 is: 693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.56 : 954.80 = 503.32 : x
  2. Step 2: Convert to fraction form
    692.56/954.80 = 503.32/x
  3. Step 3: Cross multiply
    692.56x = 954.80 × 503.32
  4. Step 4: Simplify right side
    692.56x = 480,569.94
  5. Step 5: Solve for x
    x = 480,569.94/692.56
  6. Step 6: Final answer
    x = 693.90

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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.