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Finding the Fourth Proportional to 652.48, 900.30 and 512.62

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Solution

The fourth proportional to 652.48, 900.30 and 512.62 is: 707.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.48 : 900.30 = 512.62 : x
  2. Step 2: Convert to fraction form
    652.48/900.30 = 512.62/x
  3. Step 3: Cross multiply
    652.48x = 900.30 × 512.62
  4. Step 4: Simplify right side
    652.48x = 461,511.46
  5. Step 5: Solve for x
    x = 461,511.46/652.48
  6. Step 6: Final answer
    x = 707.32

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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.