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Finding the Fourth Proportional to 1,210.74, 1,670.19 and 987.02

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Solution

The fourth proportional to 1,210.74, 1,670.19 and 987.02 is: 1,361.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.74 : 1,670.19 = 987.02 : x
  2. Step 2: Convert to fraction form
    1,210.74/1,670.19 = 987.02/x
  3. Step 3: Cross multiply
    1,210.74x = 1,670.19 × 987.02
  4. Step 4: Simplify right side
    1,210.74x = 1,648,510.93
  5. Step 5: Solve for x
    x = 1,648,510.93/1,210.74
  6. Step 6: Final answer
    x = 1,361.58

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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.