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Finding the Fourth Proportional to 1,045.87, 1,567.87 and 430.09

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Solution

The fourth proportional to 1,045.87, 1,567.87 and 430.09 is: 644.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.87 : 1,567.87 = 430.09 : x
  2. Step 2: Convert to fraction form
    1,045.87/1,567.87 = 430.09/x
  3. Step 3: Cross multiply
    1,045.87x = 1,567.87 × 430.09
  4. Step 4: Simplify right side
    1,045.87x = 674,325.21
  5. Step 5: Solve for x
    x = 674,325.21/1,045.87
  6. Step 6: Final answer
    x = 644.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.