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Finding the Fourth Proportional to 545.02, 823.46 and 540.16

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Solution

The fourth proportional to 545.02, 823.46 and 540.16 is: 816.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.02 : 823.46 = 540.16 : x
  2. Step 2: Convert to fraction form
    545.02/823.46 = 540.16/x
  3. Step 3: Cross multiply
    545.02x = 823.46 × 540.16
  4. Step 4: Simplify right side
    545.02x = 444,800.15
  5. Step 5: Solve for x
    x = 444,800.15/545.02
  6. Step 6: Final answer
    x = 816.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.