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Finding the Fourth Proportional to 1,371.48, 1,893.42 and 907.08

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Solution

The fourth proportional to 1,371.48, 1,893.42 and 907.08 is: 1,252.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.48 : 1,893.42 = 907.08 : x
  2. Step 2: Convert to fraction form
    1,371.48/1,893.42 = 907.08/x
  3. Step 3: Cross multiply
    1,371.48x = 1,893.42 × 907.08
  4. Step 4: Simplify right side
    1,371.48x = 1,717,483.41
  5. Step 5: Solve for x
    x = 1,717,483.41/1,371.48
  6. Step 6: Final answer
    x = 1,252.28

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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.