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Finding the Fourth Proportional to 860.12, 1,289.74 and 312.16

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Solution

The fourth proportional to 860.12, 1,289.74 and 312.16 is: 468.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.12 : 1,289.74 = 312.16 : x
  2. Step 2: Convert to fraction form
    860.12/1,289.74 = 312.16/x
  3. Step 3: Cross multiply
    860.12x = 1,289.74 × 312.16
  4. Step 4: Simplify right side
    860.12x = 402,605.24
  5. Step 5: Solve for x
    x = 402,605.24/860.12
  6. Step 6: Final answer
    x = 468.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.