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Finding the Fourth Proportional to 770.01, 1,062.21 and 490.25

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Solution

The fourth proportional to 770.01, 1,062.21 and 490.25 is: 676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.01 : 1,062.21 = 490.25 : x
  2. Step 2: Convert to fraction form
    770.01/1,062.21 = 490.25/x
  3. Step 3: Cross multiply
    770.01x = 1,062.21 × 490.25
  4. Step 4: Simplify right side
    770.01x = 520,752.95
  5. Step 5: Solve for x
    x = 520,752.95/770.01
  6. Step 6: Final answer
    x = 676.30

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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.