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Finding the Fourth Proportional to 1,257.09, 1,884.54 and 710.07

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Solution

The fourth proportional to 1,257.09, 1,884.54 and 710.07 is: 1,064.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.09 : 1,884.54 = 710.07 : x
  2. Step 2: Convert to fraction form
    1,257.09/1,884.54 = 710.07/x
  3. Step 3: Cross multiply
    1,257.09x = 1,884.54 × 710.07
  4. Step 4: Simplify right side
    1,257.09x = 1,338,155.32
  5. Step 5: Solve for x
    x = 1,338,155.32/1,257.09
  6. Step 6: Final answer
    x = 1,064.49

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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.