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Finding the Fourth Proportional to 1,359.17, 1,875.63 and 738.17

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Solution

The fourth proportional to 1,359.17, 1,875.63 and 738.17 is: 1,018.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.17 : 1,875.63 = 738.17 : x
  2. Step 2: Convert to fraction form
    1,359.17/1,875.63 = 738.17/x
  3. Step 3: Cross multiply
    1,359.17x = 1,875.63 × 738.17
  4. Step 4: Simplify right side
    1,359.17x = 1,384,533.80
  5. Step 5: Solve for x
    x = 1,384,533.80/1,359.17
  6. Step 6: Final answer
    x = 1,018.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.