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Finding the Fourth Proportional to 646.78, 965.47 and 556.06

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Solution

The fourth proportional to 646.78, 965.47 and 556.06 is: 830.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.78 : 965.47 = 556.06 : x
  2. Step 2: Convert to fraction form
    646.78/965.47 = 556.06/x
  3. Step 3: Cross multiply
    646.78x = 965.47 × 556.06
  4. Step 4: Simplify right side
    646.78x = 536,859.25
  5. Step 5: Solve for x
    x = 536,859.25/646.78
  6. Step 6: Final answer
    x = 830.05

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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.