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Finding the Fourth Proportional to 770.55, 1,154.34 and 444.93

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Solution

The fourth proportional to 770.55, 1,154.34 and 444.93 is: 666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.55 : 1,154.34 = 444.93 : x
  2. Step 2: Convert to fraction form
    770.55/1,154.34 = 444.93/x
  3. Step 3: Cross multiply
    770.55x = 1,154.34 × 444.93
  4. Step 4: Simplify right side
    770.55x = 513,600.50
  5. Step 5: Solve for x
    x = 513,600.50/770.55
  6. Step 6: Final answer
    x = 666.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.