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Finding the Fourth Proportional to 858.40, 1,184.59 and 465.42

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Solution

The fourth proportional to 858.40, 1,184.59 and 465.42 is: 642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.40 : 1,184.59 = 465.42 : x
  2. Step 2: Convert to fraction form
    858.40/1,184.59 = 465.42/x
  3. Step 3: Cross multiply
    858.40x = 1,184.59 × 465.42
  4. Step 4: Simplify right side
    858.40x = 551,329.55
  5. Step 5: Solve for x
    x = 551,329.55/858.40
  6. Step 6: Final answer
    x = 642.28

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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.