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Finding the Fourth Proportional to 583.40, 804.90 and 362.42

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Solution

The fourth proportional to 583.40, 804.90 and 362.42 is: 500.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.40 : 804.90 = 362.42 : x
  2. Step 2: Convert to fraction form
    583.40/804.90 = 362.42/x
  3. Step 3: Cross multiply
    583.40x = 804.90 × 362.42
  4. Step 4: Simplify right side
    583.40x = 291,715.23
  5. Step 5: Solve for x
    x = 291,715.23/583.40
  6. Step 6: Final answer
    x = 500.03

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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.