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Finding the Fourth Proportional to 586.32, 809.64 and 390.16

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Solution

The fourth proportional to 586.32, 809.64 and 390.16 is: 538.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.32 : 809.64 = 390.16 : x
  2. Step 2: Convert to fraction form
    586.32/809.64 = 390.16/x
  3. Step 3: Cross multiply
    586.32x = 809.64 × 390.16
  4. Step 4: Simplify right side
    586.32x = 315,889.14
  5. Step 5: Solve for x
    x = 315,889.14/586.32
  6. Step 6: Final answer
    x = 538.77

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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.