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Finding the Fourth Proportional to 570.45, 857.28 and 339.38

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Solution

The fourth proportional to 570.45, 857.28 and 339.38 is: 510.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.45 : 857.28 = 339.38 : x
  2. Step 2: Convert to fraction form
    570.45/857.28 = 339.38/x
  3. Step 3: Cross multiply
    570.45x = 857.28 × 339.38
  4. Step 4: Simplify right side
    570.45x = 290,943.69
  5. Step 5: Solve for x
    x = 290,943.69/570.45
  6. Step 6: Final answer
    x = 510.02

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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.