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Finding the Fourth Proportional to 573.47, 790.51 and 352.01

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Solution

The fourth proportional to 573.47, 790.51 and 352.01 is: 485.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.47 : 790.51 = 352.01 : x
  2. Step 2: Convert to fraction form
    573.47/790.51 = 352.01/x
  3. Step 3: Cross multiply
    573.47x = 790.51 × 352.01
  4. Step 4: Simplify right side
    573.47x = 278,267.43
  5. Step 5: Solve for x
    x = 278,267.43/573.47
  6. Step 6: Final answer
    x = 485.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.