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Finding the Fourth Proportional to 913.37, 1,259.01 and 802.65

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Solution

The fourth proportional to 913.37, 1,259.01 and 802.65 is: 1,106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.37 : 1,259.01 = 802.65 : x
  2. Step 2: Convert to fraction form
    913.37/1,259.01 = 802.65/x
  3. Step 3: Cross multiply
    913.37x = 1,259.01 × 802.65
  4. Step 4: Simplify right side
    913.37x = 1,010,544.38
  5. Step 5: Solve for x
    x = 1,010,544.38/913.37
  6. Step 6: Final answer
    x = 1,106.40

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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.