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Finding the Fourth Proportional to 901.07, 1,349.16 and 510.49

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Solution

The fourth proportional to 901.07, 1,349.16 and 510.49 is: 764.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.07 : 1,349.16 = 510.49 : x
  2. Step 2: Convert to fraction form
    901.07/1,349.16 = 510.49/x
  3. Step 3: Cross multiply
    901.07x = 1,349.16 × 510.49
  4. Step 4: Simplify right side
    901.07x = 688,725.94
  5. Step 5: Solve for x
    x = 688,725.94/901.07
  6. Step 6: Final answer
    x = 764.35

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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.