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Finding the Fourth Proportional to 1,412.88, 1,950.30 and 916.08

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Solution

The fourth proportional to 1,412.88, 1,950.30 and 916.08 is: 1,264.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.88 : 1,950.30 = 916.08 : x
  2. Step 2: Convert to fraction form
    1,412.88/1,950.30 = 916.08/x
  3. Step 3: Cross multiply
    1,412.88x = 1,950.30 × 916.08
  4. Step 4: Simplify right side
    1,412.88x = 1,786,630.82
  5. Step 5: Solve for x
    x = 1,786,630.82/1,412.88
  6. Step 6: Final answer
    x = 1,264.53

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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.