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Finding the Fourth Proportional to 510.48, 765.45 and 348.21

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Solution

The fourth proportional to 510.48, 765.45 and 348.21 is: 522.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.48 : 765.45 = 348.21 : x
  2. Step 2: Convert to fraction form
    510.48/765.45 = 348.21/x
  3. Step 3: Cross multiply
    510.48x = 765.45 × 348.21
  4. Step 4: Simplify right side
    510.48x = 266,537.34
  5. Step 5: Solve for x
    x = 266,537.34/510.48
  6. Step 6: Final answer
    x = 522.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.