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Finding the Fourth Proportional to 745.64, 1,028.80 and 430.89

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Solution

The fourth proportional to 745.64, 1,028.80 and 430.89 is: 594.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.64 : 1,028.80 = 430.89 : x
  2. Step 2: Convert to fraction form
    745.64/1,028.80 = 430.89/x
  3. Step 3: Cross multiply
    745.64x = 1,028.80 × 430.89
  4. Step 4: Simplify right side
    745.64x = 443,296.31
  5. Step 5: Solve for x
    x = 443,296.31/745.64
  6. Step 6: Final answer
    x = 594.52

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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.