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Finding the Fourth Proportional to 1,007.66, 1,390.64 and 565.67

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Solution

The fourth proportional to 1,007.66, 1,390.64 and 565.67 is: 780.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.66 : 1,390.64 = 565.67 : x
  2. Step 2: Convert to fraction form
    1,007.66/1,390.64 = 565.67/x
  3. Step 3: Cross multiply
    1,007.66x = 1,390.64 × 565.67
  4. Step 4: Simplify right side
    1,007.66x = 786,633.55
  5. Step 5: Solve for x
    x = 786,633.55/1,007.66
  6. Step 6: Final answer
    x = 780.66

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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.