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Finding the Fourth Proportional to 572.66, 857.93 and 328.45

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Solution

The fourth proportional to 572.66, 857.93 and 328.45 is: 492.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.66 : 857.93 = 328.45 : x
  2. Step 2: Convert to fraction form
    572.66/857.93 = 328.45/x
  3. Step 3: Cross multiply
    572.66x = 857.93 × 328.45
  4. Step 4: Simplify right side
    572.66x = 281,783.32
  5. Step 5: Solve for x
    x = 281,783.32/572.66
  6. Step 6: Final answer
    x = 492.06

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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.