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Finding the Fourth Proportional to 646.74, 970.08 and 159.77

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Solution

The fourth proportional to 646.74, 970.08 and 159.77 is: 239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.74 : 970.08 = 159.77 : x
  2. Step 2: Convert to fraction form
    646.74/970.08 = 159.77/x
  3. Step 3: Cross multiply
    646.74x = 970.08 × 159.77
  4. Step 4: Simplify right side
    646.74x = 154,984.83
  5. Step 5: Solve for x
    x = 154,984.83/646.74
  6. Step 6: Final answer
    x = 239.64

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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.