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Finding the Fourth Proportional to 916.85, 1,264.25 and 584.75

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Solution

The fourth proportional to 916.85, 1,264.25 and 584.75 is: 806.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.85 : 1,264.25 = 584.75 : x
  2. Step 2: Convert to fraction form
    916.85/1,264.25 = 584.75/x
  3. Step 3: Cross multiply
    916.85x = 1,264.25 × 584.75
  4. Step 4: Simplify right side
    916.85x = 739,267.26
  5. Step 5: Solve for x
    x = 739,267.26/916.85
  6. Step 6: Final answer
    x = 806.31

Related Problems

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Half scale
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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.