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Finding the Fourth Proportional to 673.60, 1,011.30 and 430.60

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Solution

The fourth proportional to 673.60, 1,011.30 and 430.60 is: 646.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.60 : 1,011.30 = 430.60 : x
  2. Step 2: Convert to fraction form
    673.60/1,011.30 = 430.60/x
  3. Step 3: Cross multiply
    673.60x = 1,011.30 × 430.60
  4. Step 4: Simplify right side
    673.60x = 435,465.78
  5. Step 5: Solve for x
    x = 435,465.78/673.60
  6. Step 6: Final answer
    x = 646.48

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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.