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Finding the Fourth Proportional to 515.02, 710.53 and 340.06

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Solution

The fourth proportional to 515.02, 710.53 and 340.06 is: 469.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.02 : 710.53 = 340.06 : x
  2. Step 2: Convert to fraction form
    515.02/710.53 = 340.06/x
  3. Step 3: Cross multiply
    515.02x = 710.53 × 340.06
  4. Step 4: Simplify right side
    515.02x = 241,622.83
  5. Step 5: Solve for x
    x = 241,622.83/515.02
  6. Step 6: Final answer
    x = 469.15

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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.