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Finding the Fourth Proportional to 953.08, 1,430.16 and 541.96

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Solution

The fourth proportional to 953.08, 1,430.16 and 541.96 is: 813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.08 : 1,430.16 = 541.96 : x
  2. Step 2: Convert to fraction form
    953.08/1,430.16 = 541.96/x
  3. Step 3: Cross multiply
    953.08x = 1,430.16 × 541.96
  4. Step 4: Simplify right side
    953.08x = 775,089.51
  5. Step 5: Solve for x
    x = 775,089.51/953.08
  6. Step 6: Final answer
    x = 813.25

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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.