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Finding the Fourth Proportional to 592.62, 811.89 and 570.45

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Solution

The fourth proportional to 592.62, 811.89 and 570.45 is: 781.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.62 : 811.89 = 570.45 : x
  2. Step 2: Convert to fraction form
    592.62/811.89 = 570.45/x
  3. Step 3: Cross multiply
    592.62x = 811.89 × 570.45
  4. Step 4: Simplify right side
    592.62x = 463,142.65
  5. Step 5: Solve for x
    x = 463,142.65/592.62
  6. Step 6: Final answer
    x = 781.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.