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Finding the Fourth Proportional to 1,302.65, 1,953.84 and 609.45

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Solution

The fourth proportional to 1,302.65, 1,953.84 and 609.45 is: 914.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.65 : 1,953.84 = 609.45 : x
  2. Step 2: Convert to fraction form
    1,302.65/1,953.84 = 609.45/x
  3. Step 3: Cross multiply
    1,302.65x = 1,953.84 × 609.45
  4. Step 4: Simplify right side
    1,302.65x = 1,190,767.79
  5. Step 5: Solve for x
    x = 1,190,767.79/1,302.65
  6. Step 6: Final answer
    x = 914.12

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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.