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Finding the Fourth Proportional to 646.98, 970.46 and 455.46

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Solution

The fourth proportional to 646.98, 970.46 and 455.46 is: 683.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.98 : 970.46 = 455.46 : x
  2. Step 2: Convert to fraction form
    646.98/970.46 = 455.46/x
  3. Step 3: Cross multiply
    646.98x = 970.46 × 455.46
  4. Step 4: Simplify right side
    646.98x = 442,005.71
  5. Step 5: Solve for x
    x = 442,005.71/646.98
  6. Step 6: Final answer
    x = 683.18

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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.