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Finding the Fourth Proportional to 740.58, 1,105.44 and 643.77

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Solution

The fourth proportional to 740.58, 1,105.44 and 643.77 is: 960.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.58 : 1,105.44 = 643.77 : x
  2. Step 2: Convert to fraction form
    740.58/1,105.44 = 643.77/x
  3. Step 3: Cross multiply
    740.58x = 1,105.44 × 643.77
  4. Step 4: Simplify right side
    740.58x = 711,649.11
  5. Step 5: Solve for x
    x = 711,649.11/740.58
  6. Step 6: Final answer
    x = 960.93

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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.