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Finding the Fourth Proportional to 619.47, 924.69 and 541.63

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Solution

The fourth proportional to 619.47, 924.69 and 541.63 is: 808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.47 : 924.69 = 541.63 : x
  2. Step 2: Convert to fraction form
    619.47/924.69 = 541.63/x
  3. Step 3: Cross multiply
    619.47x = 924.69 × 541.63
  4. Step 4: Simplify right side
    619.47x = 500,839.84
  5. Step 5: Solve for x
    x = 500,839.84/619.47
  6. Step 6: Final answer
    x = 808.50

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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.