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Finding the Fourth Proportional to 515.63, 712.50 and 368.01

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Solution

The fourth proportional to 515.63, 712.50 and 368.01 is: 508.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.63 : 712.50 = 368.01 : x
  2. Step 2: Convert to fraction form
    515.63/712.50 = 368.01/x
  3. Step 3: Cross multiply
    515.63x = 712.50 × 368.01
  4. Step 4: Simplify right side
    515.63x = 262,207.13
  5. Step 5: Solve for x
    x = 262,207.13/515.63
  6. Step 6: Final answer
    x = 508.52

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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.