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Finding the Fourth Proportional to 770.04, 1,155.05 and 250.06

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Solution

The fourth proportional to 770.04, 1,155.05 and 250.06 is: 375.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.04 : 1,155.05 = 250.06 : x
  2. Step 2: Convert to fraction form
    770.04/1,155.05 = 250.06/x
  3. Step 3: Cross multiply
    770.04x = 1,155.05 × 250.06
  4. Step 4: Simplify right side
    770.04x = 288,831.80
  5. Step 5: Solve for x
    x = 288,831.80/770.04
  6. Step 6: Final answer
    x = 375.09

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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.