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Finding the Fourth Proportional to 646.19, 970.52 and 564.20

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Solution

The fourth proportional to 646.19, 970.52 and 564.20 is: 847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.19 : 970.52 = 564.20 : x
  2. Step 2: Convert to fraction form
    646.19/970.52 = 564.20/x
  3. Step 3: Cross multiply
    646.19x = 970.52 × 564.20
  4. Step 4: Simplify right side
    646.19x = 547,567.38
  5. Step 5: Solve for x
    x = 547,567.38/646.19
  6. Step 6: Final answer
    x = 847.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.