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Finding the Fourth Proportional to 568.96, 785.92 and 510.72

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Solution

The fourth proportional to 568.96, 785.92 and 510.72 is: 705.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.96 : 785.92 = 510.72 : x
  2. Step 2: Convert to fraction form
    568.96/785.92 = 510.72/x
  3. Step 3: Cross multiply
    568.96x = 785.92 × 510.72
  4. Step 4: Simplify right side
    568.96x = 401,385.06
  5. Step 5: Solve for x
    x = 401,385.06/568.96
  6. Step 6: Final answer
    x = 705.47

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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.