Home / 1,056.04-1,584.10-398.12

Finding the Fourth Proportional to 1,056.04, 1,584.10 and 398.12

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Solution

The fourth proportional to 1,056.04, 1,584.10 and 398.12 is: 597.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.04 : 1,584.10 = 398.12 : x
  2. Step 2: Convert to fraction form
    1,056.04/1,584.10 = 398.12/x
  3. Step 3: Cross multiply
    1,056.04x = 1,584.10 × 398.12
  4. Step 4: Simplify right side
    1,056.04x = 630,661.89
  5. Step 5: Solve for x
    x = 630,661.89/1,056.04
  6. Step 6: Final answer
    x = 597.20

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.