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Finding the Fourth Proportional to 745.60, 1,116.60 and 601.60

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Solution

The fourth proportional to 745.60, 1,116.60 and 601.60 is: 900.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.60 : 1,116.60 = 601.60 : x
  2. Step 2: Convert to fraction form
    745.60/1,116.60 = 601.60/x
  3. Step 3: Cross multiply
    745.60x = 1,116.60 × 601.60
  4. Step 4: Simplify right side
    745.60x = 671,746.56
  5. Step 5: Solve for x
    x = 671,746.56/745.60
  6. Step 6: Final answer
    x = 900.95

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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.