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Finding the Fourth Proportional to 1,020.39, 1,530.64 and 290.02

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Solution

The fourth proportional to 1,020.39, 1,530.64 and 290.02 is: 435.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.39 : 1,530.64 = 290.02 : x
  2. Step 2: Convert to fraction form
    1,020.39/1,530.64 = 290.02/x
  3. Step 3: Cross multiply
    1,020.39x = 1,530.64 × 290.02
  4. Step 4: Simplify right side
    1,020.39x = 443,916.86
  5. Step 5: Solve for x
    x = 443,916.86/1,020.39
  6. Step 6: Final answer
    x = 435.05

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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.