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Finding the Fourth Proportional to 858.02, 1,184.07 and 465.05

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Solution

The fourth proportional to 858.02, 1,184.07 and 465.05 is: 641.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.02 : 1,184.07 = 465.05 : x
  2. Step 2: Convert to fraction form
    858.02/1,184.07 = 465.05/x
  3. Step 3: Cross multiply
    858.02x = 1,184.07 × 465.05
  4. Step 4: Simplify right side
    858.02x = 550,654.71
  5. Step 5: Solve for x
    x = 550,654.71/858.02
  6. Step 6: Final answer
    x = 641.77

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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.