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Finding the Fourth Proportional to 1,017.53, 1,525.84 and 400.76

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Solution

The fourth proportional to 1,017.53, 1,525.84 and 400.76 is: 600.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.53 : 1,525.84 = 400.76 : x
  2. Step 2: Convert to fraction form
    1,017.53/1,525.84 = 400.76/x
  3. Step 3: Cross multiply
    1,017.53x = 1,525.84 × 400.76
  4. Step 4: Simplify right side
    1,017.53x = 611,498.45
  5. Step 5: Solve for x
    x = 611,498.45/1,017.53
  6. Step 6: Final answer
    x = 600.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.