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Finding the Fourth Proportional to 692.68, 957.24 and 526.78

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Solution

The fourth proportional to 692.68, 957.24 and 526.78 is: 727.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.68 : 957.24 = 526.78 : x
  2. Step 2: Convert to fraction form
    692.68/957.24 = 526.78/x
  3. Step 3: Cross multiply
    692.68x = 957.24 × 526.78
  4. Step 4: Simplify right side
    692.68x = 504,254.89
  5. Step 5: Solve for x
    x = 504,254.89/692.68
  6. Step 6: Final answer
    x = 727.98

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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.