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Finding the Fourth Proportional to 570.84, 857.85 and 339.76

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Solution

The fourth proportional to 570.84, 857.85 and 339.76 is: 510.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.84 : 857.85 = 339.76 : x
  2. Step 2: Convert to fraction form
    570.84/857.85 = 339.76/x
  3. Step 3: Cross multiply
    570.84x = 857.85 × 339.76
  4. Step 4: Simplify right side
    570.84x = 291,463.12
  5. Step 5: Solve for x
    x = 291,463.12/570.84
  6. Step 6: Final answer
    x = 510.59

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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.