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Finding the Fourth Proportional to 750.50, 1,036.20 and 489

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Solution

The fourth proportional to 750.50, 1,036.20 and 489 is: 675.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.50 : 1,036.20 = 489 : x
  2. Step 2: Convert to fraction form
    750.50/1,036.20 = 489/x
  3. Step 3: Cross multiply
    750.50x = 1,036.20 × 489
  4. Step 4: Simplify right side
    750.50x = 506,701.80
  5. Step 5: Solve for x
    x = 506,701.80/750.50
  6. Step 6: Final answer
    x = 675.15

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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.