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Finding the Fourth Proportional to 1,875.29, 2,813.52 and 642.70

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Solution

The fourth proportional to 1,875.29, 2,813.52 and 642.70 is: 964.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.29 : 2,813.52 = 642.70 : x
  2. Step 2: Convert to fraction form
    1,875.29/2,813.52 = 642.70/x
  3. Step 3: Cross multiply
    1,875.29x = 2,813.52 × 642.70
  4. Step 4: Simplify right side
    1,875.29x = 1,808,249.30
  5. Step 5: Solve for x
    x = 1,808,249.30/1,875.29
  6. Step 6: Final answer
    x = 964.25

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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.