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Finding the Fourth Proportional to 1,055.76, 1,456.63 and 915.65

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Solution

The fourth proportional to 1,055.76, 1,456.63 and 915.65 is: 1,263.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.76 : 1,456.63 = 915.65 : x
  2. Step 2: Convert to fraction form
    1,055.76/1,456.63 = 915.65/x
  3. Step 3: Cross multiply
    1,055.76x = 1,456.63 × 915.65
  4. Step 4: Simplify right side
    1,055.76x = 1,333,772.49
  5. Step 5: Solve for x
    x = 1,333,772.49/1,055.76
  6. Step 6: Final answer
    x = 1,263.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.