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Finding the Fourth Proportional to 913.74, 1,259.02 and 618.50

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Solution

The fourth proportional to 913.74, 1,259.02 and 618.50 is: 852.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.74 : 1,259.02 = 618.50 : x
  2. Step 2: Convert to fraction form
    913.74/1,259.02 = 618.50/x
  3. Step 3: Cross multiply
    913.74x = 1,259.02 × 618.50
  4. Step 4: Simplify right side
    913.74x = 778,703.87
  5. Step 5: Solve for x
    x = 778,703.87/913.74
  6. Step 6: Final answer
    x = 852.22

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Double scale
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1.5x scale

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.