Home / 1,027.02-1,541.40-533.76

Finding the Fourth Proportional to 1,027.02, 1,541.40 and 533.76

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Solution

The fourth proportional to 1,027.02, 1,541.40 and 533.76 is: 801.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.02 : 1,541.40 = 533.76 : x
  2. Step 2: Convert to fraction form
    1,027.02/1,541.40 = 533.76/x
  3. Step 3: Cross multiply
    1,027.02x = 1,541.40 × 533.76
  4. Step 4: Simplify right side
    1,027.02x = 822,737.66
  5. Step 5: Solve for x
    x = 822,737.66/1,027.02
  6. Step 6: Final answer
    x = 801.09

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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.