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Finding the Fourth Proportional to 745.84, 1,030.74 and 559.96

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Solution

The fourth proportional to 745.84, 1,030.74 and 559.96 is: 773.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.84 : 1,030.74 = 559.96 : x
  2. Step 2: Convert to fraction form
    745.84/1,030.74 = 559.96/x
  3. Step 3: Cross multiply
    745.84x = 1,030.74 × 559.96
  4. Step 4: Simplify right side
    745.84x = 577,173.17
  5. Step 5: Solve for x
    x = 577,173.17/745.84
  6. Step 6: Final answer
    x = 773.86

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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.