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Finding the Fourth Proportional to 858.69, 1,184.96 and 465.70

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Solution

The fourth proportional to 858.69, 1,184.96 and 465.70 is: 642.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.69 : 1,184.96 = 465.70 : x
  2. Step 2: Convert to fraction form
    858.69/1,184.96 = 465.70/x
  3. Step 3: Cross multiply
    858.69x = 1,184.96 × 465.70
  4. Step 4: Simplify right side
    858.69x = 551,835.87
  5. Step 5: Solve for x
    x = 551,835.87/858.69
  6. Step 6: Final answer
    x = 642.65

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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.