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Finding the Fourth Proportional to 1,359.17, 2,038.95 and 385.24

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Solution

The fourth proportional to 1,359.17, 2,038.95 and 385.24 is: 577.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.17 : 2,038.95 = 385.24 : x
  2. Step 2: Convert to fraction form
    1,359.17/2,038.95 = 385.24/x
  3. Step 3: Cross multiply
    1,359.17x = 2,038.95 × 385.24
  4. Step 4: Simplify right side
    1,359.17x = 785,485.10
  5. Step 5: Solve for x
    x = 785,485.10/1,359.17
  6. Step 6: Final answer
    x = 577.92

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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.