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Finding the Fourth Proportional to 1,074.54, 1,482.80 and 602.50

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Solution

The fourth proportional to 1,074.54, 1,482.80 and 602.50 is: 831.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.54 : 1,482.80 = 602.50 : x
  2. Step 2: Convert to fraction form
    1,074.54/1,482.80 = 602.50/x
  3. Step 3: Cross multiply
    1,074.54x = 1,482.80 × 602.50
  4. Step 4: Simplify right side
    1,074.54x = 893,387
  5. Step 5: Solve for x
    x = 893,387/1,074.54
  6. Step 6: Final answer
    x = 831.41

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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.