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Finding the Fourth Proportional to 1,706.48, 2,355 and 1,007.84

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Solution

The fourth proportional to 1,706.48, 2,355 and 1,007.84 is: 1,390.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.48 : 2,355 = 1,007.84 : x
  2. Step 2: Convert to fraction form
    1,706.48/2,355 = 1,007.84/x
  3. Step 3: Cross multiply
    1,706.48x = 2,355 × 1,007.84
  4. Step 4: Simplify right side
    1,706.48x = 2,373,463.20
  5. Step 5: Solve for x
    x = 2,373,463.20/1,706.48
  6. Step 6: Final answer
    x = 1,390.85

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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.