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Finding the Fourth Proportional to 586.28, 804.10 and 571.64

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Solution

The fourth proportional to 586.28, 804.10 and 571.64 is: 784.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.28 : 804.10 = 571.64 : x
  2. Step 2: Convert to fraction form
    586.28/804.10 = 571.64/x
  3. Step 3: Cross multiply
    586.28x = 804.10 × 571.64
  4. Step 4: Simplify right side
    586.28x = 459,655.72
  5. Step 5: Solve for x
    x = 459,655.72/586.28
  6. Step 6: Final answer
    x = 784.02

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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.