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Finding the Fourth Proportional to 646.19, 972.92 and 569.63

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Solution

The fourth proportional to 646.19, 972.92 and 569.63 is: 857.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.19 : 972.92 = 569.63 : x
  2. Step 2: Convert to fraction form
    646.19/972.92 = 569.63/x
  3. Step 3: Cross multiply
    646.19x = 972.92 × 569.63
  4. Step 4: Simplify right side
    646.19x = 554,204.42
  5. Step 5: Solve for x
    x = 554,204.42/646.19
  6. Step 6: Final answer
    x = 857.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.