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Finding the Fourth Proportional to 501.44, 686.98 and 500

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Solution

The fourth proportional to 501.44, 686.98 and 500 is: 685.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.44 : 686.98 = 500 : x
  2. Step 2: Convert to fraction form
    501.44/686.98 = 500/x
  3. Step 3: Cross multiply
    501.44x = 686.98 × 500
  4. Step 4: Simplify right side
    501.44x = 343,490
  5. Step 5: Solve for x
    x = 343,490/501.44
  6. Step 6: Final answer
    x = 685.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.