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Finding the Fourth Proportional to 750.78, 1,036.56 and 489.24

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Solution

The fourth proportional to 750.78, 1,036.56 and 489.24 is: 675.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.78 : 1,036.56 = 489.24 : x
  2. Step 2: Convert to fraction form
    750.78/1,036.56 = 489.24/x
  3. Step 3: Cross multiply
    750.78x = 1,036.56 × 489.24
  4. Step 4: Simplify right side
    750.78x = 507,126.61
  5. Step 5: Solve for x
    x = 507,126.61/750.78
  6. Step 6: Final answer
    x = 675.47

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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.