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Finding the Fourth Proportional to 570.04, 858.14 and 519.01

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Solution

The fourth proportional to 570.04, 858.14 and 519.01 is: 781.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.04 : 858.14 = 519.01 : x
  2. Step 2: Convert to fraction form
    570.04/858.14 = 519.01/x
  3. Step 3: Cross multiply
    570.04x = 858.14 × 519.01
  4. Step 4: Simplify right side
    570.04x = 445,383.37
  5. Step 5: Solve for x
    x = 445,383.37/570.04
  6. Step 6: Final answer
    x = 781.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.