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Finding the Fourth Proportional to 745.46, 1,117.61 and 283.15

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Solution

The fourth proportional to 745.46, 1,117.61 and 283.15 is: 424.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.46 : 1,117.61 = 283.15 : x
  2. Step 2: Convert to fraction form
    745.46/1,117.61 = 283.15/x
  3. Step 3: Cross multiply
    745.46x = 1,117.61 × 283.15
  4. Step 4: Simplify right side
    745.46x = 316,451.27
  5. Step 5: Solve for x
    x = 316,451.27/745.46
  6. Step 6: Final answer
    x = 424.50

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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.