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Finding the Fourth Proportional to 1,273.63, 1,756.48 and 875.36

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Solution

The fourth proportional to 1,273.63, 1,756.48 and 875.36 is: 1,207.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.63 : 1,756.48 = 875.36 : x
  2. Step 2: Convert to fraction form
    1,273.63/1,756.48 = 875.36/x
  3. Step 3: Cross multiply
    1,273.63x = 1,756.48 × 875.36
  4. Step 4: Simplify right side
    1,273.63x = 1,537,541.52
  5. Step 5: Solve for x
    x = 1,537,541.52/1,273.63
  6. Step 6: Final answer
    x = 1,207.21

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1.5x scale

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.