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Finding the Fourth Proportional to 738.94, 1,020.10 and 572.77

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Solution

The fourth proportional to 738.94, 1,020.10 and 572.77 is: 790.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.94 : 1,020.10 = 572.77 : x
  2. Step 2: Convert to fraction form
    738.94/1,020.10 = 572.77/x
  3. Step 3: Cross multiply
    738.94x = 1,020.10 × 572.77
  4. Step 4: Simplify right side
    738.94x = 584,282.68
  5. Step 5: Solve for x
    x = 584,282.68/738.94
  6. Step 6: Final answer
    x = 790.70

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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.