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Finding the Fourth Proportional to 1,572.55, 2,357.33 and 585.10

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Solution

The fourth proportional to 1,572.55, 2,357.33 and 585.10 is: 877.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.55 : 2,357.33 = 585.10 : x
  2. Step 2: Convert to fraction form
    1,572.55/2,357.33 = 585.10/x
  3. Step 3: Cross multiply
    1,572.55x = 2,357.33 × 585.10
  4. Step 4: Simplify right side
    1,572.55x = 1,379,270.86
  5. Step 5: Solve for x
    x = 1,379,270.86/1,572.55
  6. Step 6: Final answer
    x = 877.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.