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Finding the Fourth Proportional to 1,374.68, 1,897.71 and 785.10

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Solution

The fourth proportional to 1,374.68, 1,897.71 and 785.10 is: 1,083.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.68 : 1,897.71 = 785.10 : x
  2. Step 2: Convert to fraction form
    1,374.68/1,897.71 = 785.10/x
  3. Step 3: Cross multiply
    1,374.68x = 1,897.71 × 785.10
  4. Step 4: Simplify right side
    1,374.68x = 1,489,892.12
  5. Step 5: Solve for x
    x = 1,489,892.12/1,374.68
  6. Step 6: Final answer
    x = 1,083.81

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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.