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Finding the Fourth Proportional to 1,064.74, 1,587.04 and 1,012.75

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Solution

The fourth proportional to 1,064.74, 1,587.04 and 1,012.75 is: 1,509.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.74 : 1,587.04 = 1,012.75 : x
  2. Step 2: Convert to fraction form
    1,064.74/1,587.04 = 1,012.75/x
  3. Step 3: Cross multiply
    1,064.74x = 1,587.04 × 1,012.75
  4. Step 4: Simplify right side
    1,064.74x = 1,607,261.76
  5. Step 5: Solve for x
    x = 1,607,261.76/1,064.74
  6. Step 6: Final answer
    x = 1,509.54

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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.