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Finding the Fourth Proportional to 595.98, 821.74 and 512.94

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Solution

The fourth proportional to 595.98, 821.74 and 512.94 is: 707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.98 : 821.74 = 512.94 : x
  2. Step 2: Convert to fraction form
    595.98/821.74 = 512.94/x
  3. Step 3: Cross multiply
    595.98x = 821.74 × 512.94
  4. Step 4: Simplify right side
    595.98x = 421,505.11
  5. Step 5: Solve for x
    x = 421,505.11/595.98
  6. Step 6: Final answer
    x = 707.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.