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Finding the Fourth Proportional to 745.49, 1,117.16 and 420.17

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Solution

The fourth proportional to 745.49, 1,117.16 and 420.17 is: 629.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.49 : 1,117.16 = 420.17 : x
  2. Step 2: Convert to fraction form
    745.49/1,117.16 = 420.17/x
  3. Step 3: Cross multiply
    745.49x = 1,117.16 × 420.17
  4. Step 4: Simplify right side
    745.49x = 469,397.12
  5. Step 5: Solve for x
    x = 469,397.12/745.49
  6. Step 6: Final answer
    x = 629.65

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Double scale
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1.5x scale

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.