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Finding the Fourth Proportional to 770.10, 1,064.13 and 548.67

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Solution

The fourth proportional to 770.10, 1,064.13 and 548.67 is: 758.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.10 : 1,064.13 = 548.67 : x
  2. Step 2: Convert to fraction form
    770.10/1,064.13 = 548.67/x
  3. Step 3: Cross multiply
    770.10x = 1,064.13 × 548.67
  4. Step 4: Simplify right side
    770.10x = 583,848.14
  5. Step 5: Solve for x
    x = 583,848.14/770.10
  6. Step 6: Final answer
    x = 758.15

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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.