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Finding the Fourth Proportional to 471.16, 707.35 and 363.02

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Solution

The fourth proportional to 471.16, 707.35 and 363.02 is: 545.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.16 : 707.35 = 363.02 : x
  2. Step 2: Convert to fraction form
    471.16/707.35 = 363.02/x
  3. Step 3: Cross multiply
    471.16x = 707.35 × 363.02
  4. Step 4: Simplify right side
    471.16x = 256,782.20
  5. Step 5: Solve for x
    x = 256,782.20/471.16
  6. Step 6: Final answer
    x = 545.00

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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.