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Finding the Fourth Proportional to 586.65, 809.64 and 400.35

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Solution

The fourth proportional to 586.65, 809.64 and 400.35 is: 552.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.65 : 809.64 = 400.35 : x
  2. Step 2: Convert to fraction form
    586.65/809.64 = 400.35/x
  3. Step 3: Cross multiply
    586.65x = 809.64 × 400.35
  4. Step 4: Simplify right side
    586.65x = 324,139.37
  5. Step 5: Solve for x
    x = 324,139.37/586.65
  6. Step 6: Final answer
    x = 552.53

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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.