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Finding the Fourth Proportional to 1,292.72, 1,783.91 and 703.24

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Solution

The fourth proportional to 1,292.72, 1,783.91 and 703.24 is: 970.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.72 : 1,783.91 = 703.24 : x
  2. Step 2: Convert to fraction form
    1,292.72/1,783.91 = 703.24/x
  3. Step 3: Cross multiply
    1,292.72x = 1,783.91 × 703.24
  4. Step 4: Simplify right side
    1,292.72x = 1,254,514.17
  5. Step 5: Solve for x
    x = 1,254,514.17/1,292.72
  6. Step 6: Final answer
    x = 970.45

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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.