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Finding the Fourth Proportional to 900.90, 1,349.91 and 510.87

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Solution

The fourth proportional to 900.90, 1,349.91 and 510.87 is: 765.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.90 : 1,349.91 = 510.87 : x
  2. Step 2: Convert to fraction form
    900.90/1,349.91 = 510.87/x
  3. Step 3: Cross multiply
    900.90x = 1,349.91 × 510.87
  4. Step 4: Simplify right side
    900.90x = 689,628.52
  5. Step 5: Solve for x
    x = 689,628.52/900.90
  6. Step 6: Final answer
    x = 765.49

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Why These Related Problems?

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