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Finding the Fourth Proportional to 646.40, 965.22 and 507.89

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Solution

The fourth proportional to 646.40, 965.22 and 507.89 is: 758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.40 : 965.22 = 507.89 : x
  2. Step 2: Convert to fraction form
    646.40/965.22 = 507.89/x
  3. Step 3: Cross multiply
    646.40x = 965.22 × 507.89
  4. Step 4: Simplify right side
    646.40x = 490,225.59
  5. Step 5: Solve for x
    x = 490,225.59/646.40
  6. Step 6: Final answer
    x = 758.39

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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.