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Finding the Fourth Proportional to 1,235.76, 1,852.57 and 504.87

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Solution

The fourth proportional to 1,235.76, 1,852.57 and 504.87 is: 756.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.76 : 1,852.57 = 504.87 : x
  2. Step 2: Convert to fraction form
    1,235.76/1,852.57 = 504.87/x
  3. Step 3: Cross multiply
    1,235.76x = 1,852.57 × 504.87
  4. Step 4: Simplify right side
    1,235.76x = 935,307.02
  5. Step 5: Solve for x
    x = 935,307.02/1,235.76
  6. Step 6: Final answer
    x = 756.87

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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.