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Finding the Fourth Proportional to 770.35, 1,061.69 and 608.15

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Solution

The fourth proportional to 770.35, 1,061.69 and 608.15 is: 838.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.35 : 1,061.69 = 608.15 : x
  2. Step 2: Convert to fraction form
    770.35/1,061.69 = 608.15/x
  3. Step 3: Cross multiply
    770.35x = 1,061.69 × 608.15
  4. Step 4: Simplify right side
    770.35x = 645,658.42
  5. Step 5: Solve for x
    x = 645,658.42/770.35
  6. Step 6: Final answer
    x = 838.14

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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.