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Finding the Fourth Proportional to 1,305.65, 1,957.76 and 602.10

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Solution

The fourth proportional to 1,305.65, 1,957.76 and 602.10 is: 902.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.65 : 1,957.76 = 602.10 : x
  2. Step 2: Convert to fraction form
    1,305.65/1,957.76 = 602.10/x
  3. Step 3: Cross multiply
    1,305.65x = 1,957.76 × 602.10
  4. Step 4: Simplify right side
    1,305.65x = 1,178,767.30
  5. Step 5: Solve for x
    x = 1,178,767.30/1,305.65
  6. Step 6: Final answer
    x = 902.82

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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.