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Finding the Fourth Proportional to 953.66, 1,430.54 and 368.66

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Solution

The fourth proportional to 953.66, 1,430.54 and 368.66 is: 553.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.66 : 1,430.54 = 368.66 : x
  2. Step 2: Convert to fraction form
    953.66/1,430.54 = 368.66/x
  3. Step 3: Cross multiply
    953.66x = 1,430.54 × 368.66
  4. Step 4: Simplify right side
    953.66x = 527,382.88
  5. Step 5: Solve for x
    x = 527,382.88/953.66
  6. Step 6: Final answer
    x = 553.01

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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.