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Finding the Fourth Proportional to 506, 698.76 and 368.72

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Solution

The fourth proportional to 506, 698.76 and 368.72 is: 509.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    506 : 698.76 = 368.72 : x
  2. Step 2: Convert to fraction form
    506/698.76 = 368.72/x
  3. Step 3: Cross multiply
    506x = 698.76 × 368.72
  4. Step 4: Simplify right side
    506x = 257,646.79
  5. Step 5: Solve for x
    x = 257,646.79/506
  6. Step 6: Final answer
    x = 509.18

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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.