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Finding the Fourth Proportional to 646.16, 962.74 and 602

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Solution

The fourth proportional to 646.16, 962.74 and 602 is: 896.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.16 : 962.74 = 602 : x
  2. Step 2: Convert to fraction form
    646.16/962.74 = 602/x
  3. Step 3: Cross multiply
    646.16x = 962.74 × 602
  4. Step 4: Simplify right side
    646.16x = 579,569.48
  5. Step 5: Solve for x
    x = 579,569.48/646.16
  6. Step 6: Final answer
    x = 896.94

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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.