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Finding the Fourth Proportional to 953.65, 1,430.88 and 405.94

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Solution

The fourth proportional to 953.65, 1,430.88 and 405.94 is: 609.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.65 : 1,430.88 = 405.94 : x
  2. Step 2: Convert to fraction form
    953.65/1,430.88 = 405.94/x
  3. Step 3: Cross multiply
    953.65x = 1,430.88 × 405.94
  4. Step 4: Simplify right side
    953.65x = 580,851.43
  5. Step 5: Solve for x
    x = 580,851.43/953.65
  6. Step 6: Final answer
    x = 609.08

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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.