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Finding the Fourth Proportional to 740.50, 1,022.19 and 647.38

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Solution

The fourth proportional to 740.50, 1,022.19 and 647.38 is: 893.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.50 : 1,022.19 = 647.38 : x
  2. Step 2: Convert to fraction form
    740.50/1,022.19 = 647.38/x
  3. Step 3: Cross multiply
    740.50x = 1,022.19 × 647.38
  4. Step 4: Simplify right side
    740.50x = 661,745.36
  5. Step 5: Solve for x
    x = 661,745.36/740.50
  6. Step 6: Final answer
    x = 893.65

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1.5x scale

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.