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Finding the Fourth Proportional to 646.85, 970.27 and 452.23

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Solution

The fourth proportional to 646.85, 970.27 and 452.23 is: 678.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.85 : 970.27 = 452.23 : x
  2. Step 2: Convert to fraction form
    646.85/970.27 = 452.23/x
  3. Step 3: Cross multiply
    646.85x = 970.27 × 452.23
  4. Step 4: Simplify right side
    646.85x = 438,790.28
  5. Step 5: Solve for x
    x = 438,790.28/646.85
  6. Step 6: Final answer
    x = 678.35

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Double scale
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Similar ratio
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1.5x scale

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.