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Finding the Fourth Proportional to 913.95, 1,363.75 and 858.16

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Solution

The fourth proportional to 913.95, 1,363.75 and 858.16 is: 1,280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.95 : 1,363.75 = 858.16 : x
  2. Step 2: Convert to fraction form
    913.95/1,363.75 = 858.16/x
  3. Step 3: Cross multiply
    913.95x = 1,363.75 × 858.16
  4. Step 4: Simplify right side
    913.95x = 1,170,315.26
  5. Step 5: Solve for x
    x = 1,170,315.26/913.95
  6. Step 6: Final answer
    x = 1,280.50

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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.