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Finding the Fourth Proportional to 647.81, 895.25 and 575.81

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Solution

The fourth proportional to 647.81, 895.25 and 575.81 is: 795.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.81 : 895.25 = 575.81 : x
  2. Step 2: Convert to fraction form
    647.81/895.25 = 575.81/x
  3. Step 3: Cross multiply
    647.81x = 895.25 × 575.81
  4. Step 4: Simplify right side
    647.81x = 515,491.02
  5. Step 5: Solve for x
    x = 515,491.02/647.81
  6. Step 6: Final answer
    x = 795.74

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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.