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Finding the Fourth Proportional to 572.93, 853.77 and 557.09

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Solution

The fourth proportional to 572.93, 853.77 and 557.09 is: 830.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.93 : 853.77 = 557.09 : x
  2. Step 2: Convert to fraction form
    572.93/853.77 = 557.09/x
  3. Step 3: Cross multiply
    572.93x = 853.77 × 557.09
  4. Step 4: Simplify right side
    572.93x = 475,626.73
  5. Step 5: Solve for x
    x = 475,626.73/572.93
  6. Step 6: Final answer
    x = 830.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.