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Finding the Fourth Proportional to 900.76, 1,351.14 and 510.70

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Solution

The fourth proportional to 900.76, 1,351.14 and 510.70 is: 766.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.76 : 1,351.14 = 510.70 : x
  2. Step 2: Convert to fraction form
    900.76/1,351.14 = 510.70/x
  3. Step 3: Cross multiply
    900.76x = 1,351.14 × 510.70
  4. Step 4: Simplify right side
    900.76x = 690,027.20
  5. Step 5: Solve for x
    x = 690,027.20/900.76
  6. Step 6: Final answer
    x = 766.05

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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.