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Finding the Fourth Proportional to 738.93, 1,020.21 and 570.58

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Solution

The fourth proportional to 738.93, 1,020.21 and 570.58 is: 787.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.93 : 1,020.21 = 570.58 : x
  2. Step 2: Convert to fraction form
    738.93/1,020.21 = 570.58/x
  3. Step 3: Cross multiply
    738.93x = 1,020.21 × 570.58
  4. Step 4: Simplify right side
    738.93x = 582,106.32
  5. Step 5: Solve for x
    x = 582,106.32/738.93
  6. Step 6: Final answer
    x = 787.77

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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.