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Finding the Fourth Proportional to 1,715.87, 2,573.40 and 985.07

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Solution

The fourth proportional to 1,715.87, 2,573.40 and 985.07 is: 1,477.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.87 : 2,573.40 = 985.07 : x
  2. Step 2: Convert to fraction form
    1,715.87/2,573.40 = 985.07/x
  3. Step 3: Cross multiply
    1,715.87x = 2,573.40 × 985.07
  4. Step 4: Simplify right side
    1,715.87x = 2,534,979.14
  5. Step 5: Solve for x
    x = 2,534,979.14/1,715.87
  6. Step 6: Final answer
    x = 1,477.37

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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.