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Finding the Fourth Proportional to 500.02, 690.10 and 300.87

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Solution

The fourth proportional to 500.02, 690.10 and 300.87 is: 415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.02 : 690.10 = 300.87 : x
  2. Step 2: Convert to fraction form
    500.02/690.10 = 300.87/x
  3. Step 3: Cross multiply
    500.02x = 690.10 × 300.87
  4. Step 4: Simplify right side
    500.02x = 207,629.63
  5. Step 5: Solve for x
    x = 207,629.63/500.02
  6. Step 6: Final answer
    x = 415.24

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1.5x scale

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.