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Finding the Fourth Proportional to 1,256.65, 1,875.78 and 1,164

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Solution

The fourth proportional to 1,256.65, 1,875.78 and 1,164 is: 1,737.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.65 : 1,875.78 = 1,164 : x
  2. Step 2: Convert to fraction form
    1,256.65/1,875.78 = 1,164/x
  3. Step 3: Cross multiply
    1,256.65x = 1,875.78 × 1,164
  4. Step 4: Simplify right side
    1,256.65x = 2,183,412.29
  5. Step 5: Solve for x
    x = 2,183,412.29/1,256.65
  6. Step 6: Final answer
    x = 1,737.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.