Home / 587.10-811.59-470.23

Finding the Fourth Proportional to 587.10, 811.59 and 470.23

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Solution

The fourth proportional to 587.10, 811.59 and 470.23 is: 650.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.10 : 811.59 = 470.23 : x
  2. Step 2: Convert to fraction form
    587.10/811.59 = 470.23/x
  3. Step 3: Cross multiply
    587.10x = 811.59 × 470.23
  4. Step 4: Simplify right side
    587.10x = 381,637.86
  5. Step 5: Solve for x
    x = 381,637.86/587.10
  6. Step 6: Final answer
    x = 650.04

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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.