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Finding the Fourth Proportional to 953.10, 1,429.65 and 900.30

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Solution

The fourth proportional to 953.10, 1,429.65 and 900.30 is: 1,350.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.10 : 1,429.65 = 900.30 : x
  2. Step 2: Convert to fraction form
    953.10/1,429.65 = 900.30/x
  3. Step 3: Cross multiply
    953.10x = 1,429.65 × 900.30
  4. Step 4: Simplify right side
    953.10x = 1,287,113.90
  5. Step 5: Solve for x
    x = 1,287,113.90/953.10
  6. Step 6: Final answer
    x = 1,350.45

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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.