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Finding the Fourth Proportional to 1,017.80, 1,404.51 and 575.78

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Solution

The fourth proportional to 1,017.80, 1,404.51 and 575.78 is: 794.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.80 : 1,404.51 = 575.78 : x
  2. Step 2: Convert to fraction form
    1,017.80/1,404.51 = 575.78/x
  3. Step 3: Cross multiply
    1,017.80x = 1,404.51 × 575.78
  4. Step 4: Simplify right side
    1,017.80x = 808,688.77
  5. Step 5: Solve for x
    x = 808,688.77/1,017.80
  6. Step 6: Final answer
    x = 794.55

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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.