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Finding the Fourth Proportional to 515.08, 715.71 and 509

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Solution

The fourth proportional to 515.08, 715.71 and 509 is: 707.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.08 : 715.71 = 509 : x
  2. Step 2: Convert to fraction form
    515.08/715.71 = 509/x
  3. Step 3: Cross multiply
    515.08x = 715.71 × 509
  4. Step 4: Simplify right side
    515.08x = 364,296.39
  5. Step 5: Solve for x
    x = 364,296.39/515.08
  6. Step 6: Final answer
    x = 707.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.