Home / 1,253.16-1,877.30-923.50

Finding the Fourth Proportional to 1,253.16, 1,877.30 and 923.50

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Solution

The fourth proportional to 1,253.16, 1,877.30 and 923.50 is: 1,383.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.16 : 1,877.30 = 923.50 : x
  2. Step 2: Convert to fraction form
    1,253.16/1,877.30 = 923.50/x
  3. Step 3: Cross multiply
    1,253.16x = 1,877.30 × 923.50
  4. Step 4: Simplify right side
    1,253.16x = 1,733,686.55
  5. Step 5: Solve for x
    x = 1,733,686.55/1,253.16
  6. Step 6: Final answer
    x = 1,383.45

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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.