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Finding the Fourth Proportional to 1,572.81, 2,358.97 and 572.05

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Solution

The fourth proportional to 1,572.81, 2,358.97 and 572.05 is: 857.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.81 : 2,358.97 = 572.05 : x
  2. Step 2: Convert to fraction form
    1,572.81/2,358.97 = 572.05/x
  3. Step 3: Cross multiply
    1,572.81x = 2,358.97 × 572.05
  4. Step 4: Simplify right side
    1,572.81x = 1,349,448.79
  5. Step 5: Solve for x
    x = 1,349,448.79/1,572.81
  6. Step 6: Final answer
    x = 857.99

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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.