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Finding the Fourth Proportional to 745.63, 1,118.05 and 571.87

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Solution

The fourth proportional to 745.63, 1,118.05 and 571.87 is: 857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.63 : 1,118.05 = 571.87 : x
  2. Step 2: Convert to fraction form
    745.63/1,118.05 = 571.87/x
  3. Step 3: Cross multiply
    745.63x = 1,118.05 × 571.87
  4. Step 4: Simplify right side
    745.63x = 639,379.22
  5. Step 5: Solve for x
    x = 639,379.22/745.63
  6. Step 6: Final answer
    x = 857.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.