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Finding the Fourth Proportional to 1,715.40, 2,570.94 and 945

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Solution

The fourth proportional to 1,715.40, 2,570.94 and 945 is: 1,416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.40 : 2,570.94 = 945 : x
  2. Step 2: Convert to fraction form
    1,715.40/2,570.94 = 945/x
  3. Step 3: Cross multiply
    1,715.40x = 2,570.94 × 945
  4. Step 4: Simplify right side
    1,715.40x = 2,429,538.30
  5. Step 5: Solve for x
    x = 2,429,538.30/1,715.40
  6. Step 6: Final answer
    x = 1,416.31

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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.