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Finding the Fourth Proportional to 770.02, 1,154.46 and 385.54

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Solution

The fourth proportional to 770.02, 1,154.46 and 385.54 is: 578.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.02 : 1,154.46 = 385.54 : x
  2. Step 2: Convert to fraction form
    770.02/1,154.46 = 385.54/x
  3. Step 3: Cross multiply
    770.02x = 1,154.46 × 385.54
  4. Step 4: Simplify right side
    770.02x = 445,090.51
  5. Step 5: Solve for x
    x = 445,090.51/770.02
  6. Step 6: Final answer
    x = 578.02

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Double scale
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1.5x scale

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.