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Finding the Fourth Proportional to 1,316.45, 1,976.70 and 907.40

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Solution

The fourth proportional to 1,316.45, 1,976.70 and 907.40 is: 1,362.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.45 : 1,976.70 = 907.40 : x
  2. Step 2: Convert to fraction form
    1,316.45/1,976.70 = 907.40/x
  3. Step 3: Cross multiply
    1,316.45x = 1,976.70 × 907.40
  4. Step 4: Simplify right side
    1,316.45x = 1,793,657.58
  5. Step 5: Solve for x
    x = 1,793,657.58/1,316.45
  6. Step 6: Final answer
    x = 1,362.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.