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Finding the Fourth Proportional to 642.88, 958.26 and 573.10

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Solution

The fourth proportional to 642.88, 958.26 and 573.10 is: 854.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.88 : 958.26 = 573.10 : x
  2. Step 2: Convert to fraction form
    642.88/958.26 = 573.10/x
  3. Step 3: Cross multiply
    642.88x = 958.26 × 573.10
  4. Step 4: Simplify right side
    642.88x = 549,178.81
  5. Step 5: Solve for x
    x = 549,178.81/642.88
  6. Step 6: Final answer
    x = 854.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.