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Finding the Fourth Proportional to 586.51, 809.40 and 353.50

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Solution

The fourth proportional to 586.51, 809.40 and 353.50 is: 487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.51 : 809.40 = 353.50 : x
  2. Step 2: Convert to fraction form
    586.51/809.40 = 353.50/x
  3. Step 3: Cross multiply
    586.51x = 809.40 × 353.50
  4. Step 4: Simplify right side
    586.51x = 286,122.90
  5. Step 5: Solve for x
    x = 286,122.90/586.51
  6. Step 6: Final answer
    x = 487.84

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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.