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Finding the Fourth Proportional to 1,260.37, 1,886.57 and 710.92

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Solution

The fourth proportional to 1,260.37, 1,886.57 and 710.92 is: 1,064.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.37 : 1,886.57 = 710.92 : x
  2. Step 2: Convert to fraction form
    1,260.37/1,886.57 = 710.92/x
  3. Step 3: Cross multiply
    1,260.37x = 1,886.57 × 710.92
  4. Step 4: Simplify right side
    1,260.37x = 1,341,196.79
  5. Step 5: Solve for x
    x = 1,341,196.79/1,260.37
  6. Step 6: Final answer
    x = 1,064.13

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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.