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Finding the Fourth Proportional to 586.86, 810.05 and 412.71

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Solution

The fourth proportional to 586.86, 810.05 and 412.71 is: 569.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.86 : 810.05 = 412.71 : x
  2. Step 2: Convert to fraction form
    586.86/810.05 = 412.71/x
  3. Step 3: Cross multiply
    586.86x = 810.05 × 412.71
  4. Step 4: Simplify right side
    586.86x = 334,313.67
  5. Step 5: Solve for x
    x = 334,313.67/586.86
  6. Step 6: Final answer
    x = 569.67

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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.