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Finding the Fourth Proportional to 540.74, 805.97 and 509.99

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Solution

The fourth proportional to 540.74, 805.97 and 509.99 is: 760.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.74 : 805.97 = 509.99 : x
  2. Step 2: Convert to fraction form
    540.74/805.97 = 509.99/x
  3. Step 3: Cross multiply
    540.74x = 805.97 × 509.99
  4. Step 4: Simplify right side
    540.74x = 411,030.06
  5. Step 5: Solve for x
    x = 411,030.06/540.74
  6. Step 6: Final answer
    x = 760.13

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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.