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Finding the Fourth Proportional to 875.63, 1,208.38 and 565.67

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Solution

The fourth proportional to 875.63, 1,208.38 and 565.67 is: 780.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.63 : 1,208.38 = 565.67 : x
  2. Step 2: Convert to fraction form
    875.63/1,208.38 = 565.67/x
  3. Step 3: Cross multiply
    875.63x = 1,208.38 × 565.67
  4. Step 4: Simplify right side
    875.63x = 683,536.86
  5. Step 5: Solve for x
    x = 683,536.86/875.63
  6. Step 6: Final answer
    x = 780.63

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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.