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Finding the Fourth Proportional to 595.76, 821.52 and 513.14

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Solution

The fourth proportional to 595.76, 821.52 and 513.14 is: 707.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.76 : 821.52 = 513.14 : x
  2. Step 2: Convert to fraction form
    595.76/821.52 = 513.14/x
  3. Step 3: Cross multiply
    595.76x = 821.52 × 513.14
  4. Step 4: Simplify right side
    595.76x = 421,554.77
  5. Step 5: Solve for x
    x = 421,554.77/595.76
  6. Step 6: Final answer
    x = 707.59

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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.