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Finding the Fourth Proportional to 858.70, 1,280.86 and 787.93

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Solution

The fourth proportional to 858.70, 1,280.86 and 787.93 is: 1,175.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.70 : 1,280.86 = 787.93 : x
  2. Step 2: Convert to fraction form
    858.70/1,280.86 = 787.93/x
  3. Step 3: Cross multiply
    858.70x = 1,280.86 × 787.93
  4. Step 4: Simplify right side
    858.70x = 1,009,228.02
  5. Step 5: Solve for x
    x = 1,009,228.02/858.70
  6. Step 6: Final answer
    x = 1,175.30

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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.