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Finding the Fourth Proportional to 619.40, 924.04 and 510.88

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Solution

The fourth proportional to 619.40, 924.04 and 510.88 is: 762.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.40 : 924.04 = 510.88 : x
  2. Step 2: Convert to fraction form
    619.40/924.04 = 510.88/x
  3. Step 3: Cross multiply
    619.40x = 924.04 × 510.88
  4. Step 4: Simplify right side
    619.40x = 472,073.56
  5. Step 5: Solve for x
    x = 472,073.56/619.40
  6. Step 6: Final answer
    x = 762.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.