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Finding the Fourth Proportional to 541.70, 811.47 and 509.30

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Solution

The fourth proportional to 541.70, 811.47 and 509.30 is: 762.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.70 : 811.47 = 509.30 : x
  2. Step 2: Convert to fraction form
    541.70/811.47 = 509.30/x
  3. Step 3: Cross multiply
    541.70x = 811.47 × 509.30
  4. Step 4: Simplify right side
    541.70x = 413,281.67
  5. Step 5: Solve for x
    x = 413,281.67/541.70
  6. Step 6: Final answer
    x = 762.93

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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.