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Finding the Fourth Proportional to 518.24, 710.95 and 509.60

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Solution

The fourth proportional to 518.24, 710.95 and 509.60 is: 699.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.24 : 710.95 = 509.60 : x
  2. Step 2: Convert to fraction form
    518.24/710.95 = 509.60/x
  3. Step 3: Cross multiply
    518.24x = 710.95 × 509.60
  4. Step 4: Simplify right side
    518.24x = 362,300.12
  5. Step 5: Solve for x
    x = 362,300.12/518.24
  6. Step 6: Final answer
    x = 699.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.