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Finding the Fourth Proportional to 524.13, 790.72 and 509.55

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Solution

The fourth proportional to 524.13, 790.72 and 509.55 is: 768.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.13 : 790.72 = 509.55 : x
  2. Step 2: Convert to fraction form
    524.13/790.72 = 509.55/x
  3. Step 3: Cross multiply
    524.13x = 790.72 × 509.55
  4. Step 4: Simplify right side
    524.13x = 402,911.38
  5. Step 5: Solve for x
    x = 402,911.38/524.13
  6. Step 6: Final answer
    x = 768.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.