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Finding the Fourth Proportional to 874.30, 1,310.64 and 435.28

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Solution

The fourth proportional to 874.30, 1,310.64 and 435.28 is: 652.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.30 : 1,310.64 = 435.28 : x
  2. Step 2: Convert to fraction form
    874.30/1,310.64 = 435.28/x
  3. Step 3: Cross multiply
    874.30x = 1,310.64 × 435.28
  4. Step 4: Simplify right side
    874.30x = 570,495.38
  5. Step 5: Solve for x
    x = 570,495.38/874.30
  6. Step 6: Final answer
    x = 652.52

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1.5x scale

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.