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Finding the Fourth Proportional to 515.03, 710.00 and 340.07

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Solution

The fourth proportional to 515.03, 710.00 and 340.07 is: 468.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.03 : 710.00 = 340.07 : x
  2. Step 2: Convert to fraction form
    515.03/710.00 = 340.07/x
  3. Step 3: Cross multiply
    515.03x = 710.00 × 340.07
  4. Step 4: Simplify right side
    515.03x = 241,446.22
  5. Step 5: Solve for x
    x = 241,446.22/515.03
  6. Step 6: Final answer
    x = 468.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.