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Finding the Fourth Proportional to 642.65, 887.96 and 572.09

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Solution

The fourth proportional to 642.65, 887.96 and 572.09 is: 790.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.65 : 887.96 = 572.09 : x
  2. Step 2: Convert to fraction form
    642.65/887.96 = 572.09/x
  3. Step 3: Cross multiply
    642.65x = 887.96 × 572.09
  4. Step 4: Simplify right side
    642.65x = 507,990.18
  5. Step 5: Solve for x
    x = 507,990.18/642.65
  6. Step 6: Final answer
    x = 790.46

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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.