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Finding the Fourth Proportional to 770.40, 1,062.96 and 672.16

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Solution

The fourth proportional to 770.40, 1,062.96 and 672.16 is: 927.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.40 : 1,062.96 = 672.16 : x
  2. Step 2: Convert to fraction form
    770.40/1,062.96 = 672.16/x
  3. Step 3: Cross multiply
    770.40x = 1,062.96 × 672.16
  4. Step 4: Simplify right side
    770.40x = 714,479.19
  5. Step 5: Solve for x
    x = 714,479.19/770.40
  6. Step 6: Final answer
    x = 927.41

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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.