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Finding the Fourth Proportional to 646.29, 971.06 and 607.41

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Solution

The fourth proportional to 646.29, 971.06 and 607.41 is: 912.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.29 : 971.06 = 607.41 : x
  2. Step 2: Convert to fraction form
    646.29/971.06 = 607.41/x
  3. Step 3: Cross multiply
    646.29x = 971.06 × 607.41
  4. Step 4: Simplify right side
    646.29x = 589,828.52
  5. Step 5: Solve for x
    x = 589,828.52/646.29
  6. Step 6: Final answer
    x = 912.64

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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.