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Finding the Fourth Proportional to 1,292.70, 1,783.90 and 703.26

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Solution

The fourth proportional to 1,292.70, 1,783.90 and 703.26 is: 970.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.70 : 1,783.90 = 703.26 : x
  2. Step 2: Convert to fraction form
    1,292.70/1,783.90 = 703.26/x
  3. Step 3: Cross multiply
    1,292.70x = 1,783.90 × 703.26
  4. Step 4: Simplify right side
    1,292.70x = 1,254,545.51
  5. Step 5: Solve for x
    x = 1,254,545.51/1,292.70
  6. Step 6: Final answer
    x = 970.48

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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.