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Finding the Fourth Proportional to 740.86, 1,103.52 and 703.42

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Solution

The fourth proportional to 740.86, 1,103.52 and 703.42 is: 1,047.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.86 : 1,103.52 = 703.42 : x
  2. Step 2: Convert to fraction form
    740.86/1,103.52 = 703.42/x
  3. Step 3: Cross multiply
    740.86x = 1,103.52 × 703.42
  4. Step 4: Simplify right side
    740.86x = 776,238.04
  5. Step 5: Solve for x
    x = 776,238.04/740.86
  6. Step 6: Final answer
    x = 1,047.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.