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Finding the Fourth Proportional to 916.35, 1,264.55 and 566.84

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Solution

The fourth proportional to 916.35, 1,264.55 and 566.84 is: 782.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.35 : 1,264.55 = 566.84 : x
  2. Step 2: Convert to fraction form
    916.35/1,264.55 = 566.84/x
  3. Step 3: Cross multiply
    916.35x = 1,264.55 × 566.84
  4. Step 4: Simplify right side
    916.35x = 716,788.37
  5. Step 5: Solve for x
    x = 716,788.37/916.35
  6. Step 6: Final answer
    x = 782.22

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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.