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Finding the Fourth Proportional to 1,707.54, 2,557.70 and 783.88

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Solution

The fourth proportional to 1,707.54, 2,557.70 and 783.88 is: 1,174.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.54 : 2,557.70 = 783.88 : x
  2. Step 2: Convert to fraction form
    1,707.54/2,557.70 = 783.88/x
  3. Step 3: Cross multiply
    1,707.54x = 2,557.70 × 783.88
  4. Step 4: Simplify right side
    1,707.54x = 2,004,929.88
  5. Step 5: Solve for x
    x = 2,004,929.88/1,707.54
  6. Step 6: Final answer
    x = 1,174.16

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1.5x scale

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.