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Finding the Fourth Proportional to 874.87, 1,312.45 and 290.07

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Solution

The fourth proportional to 874.87, 1,312.45 and 290.07 is: 435.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.87 : 1,312.45 = 290.07 : x
  2. Step 2: Convert to fraction form
    874.87/1,312.45 = 290.07/x
  3. Step 3: Cross multiply
    874.87x = 1,312.45 × 290.07
  4. Step 4: Simplify right side
    874.87x = 380,701.65
  5. Step 5: Solve for x
    x = 380,701.65/874.87
  6. Step 6: Final answer
    x = 435.15

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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.