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Finding the Fourth Proportional to 1,248.69, 1,870.95 and 882.75

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Solution

The fourth proportional to 1,248.69, 1,870.95 and 882.75 is: 1,322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.69 : 1,870.95 = 882.75 : x
  2. Step 2: Convert to fraction form
    1,248.69/1,870.95 = 882.75/x
  3. Step 3: Cross multiply
    1,248.69x = 1,870.95 × 882.75
  4. Step 4: Simplify right side
    1,248.69x = 1,651,581.11
  5. Step 5: Solve for x
    x = 1,651,581.11/1,248.69
  6. Step 6: Final answer
    x = 1,322.65

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1.5x scale

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.