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Finding the Fourth Proportional to 646.32, 892.13 and 436.35

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Solution

The fourth proportional to 646.32, 892.13 and 436.35 is: 602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.32 : 892.13 = 436.35 : x
  2. Step 2: Convert to fraction form
    646.32/892.13 = 436.35/x
  3. Step 3: Cross multiply
    646.32x = 892.13 × 436.35
  4. Step 4: Simplify right side
    646.32x = 389,278.74
  5. Step 5: Solve for x
    x = 389,278.74/646.32
  6. Step 6: Final answer
    x = 602.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.