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Finding the Fourth Proportional to 1,074.55, 1,482.87 and 602.45

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Solution

The fourth proportional to 1,074.55, 1,482.87 and 602.45 is: 831.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.55 : 1,482.87 = 602.45 : x
  2. Step 2: Convert to fraction form
    1,074.55/1,482.87 = 602.45/x
  3. Step 3: Cross multiply
    1,074.55x = 1,482.87 × 602.45
  4. Step 4: Simplify right side
    1,074.55x = 893,363.78
  5. Step 5: Solve for x
    x = 893,363.78/1,074.55
  6. Step 6: Final answer
    x = 831.38

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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.