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Finding the Fourth Proportional to 745.77, 1,117.89 and 283.26

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Solution

The fourth proportional to 745.77, 1,117.89 and 283.26 is: 424.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.77 : 1,117.89 = 283.26 : x
  2. Step 2: Convert to fraction form
    745.77/1,117.89 = 283.26/x
  3. Step 3: Cross multiply
    745.77x = 1,117.89 × 283.26
  4. Step 4: Simplify right side
    745.77x = 316,653.52
  5. Step 5: Solve for x
    x = 316,653.52/745.77
  6. Step 6: Final answer
    x = 424.60

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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.