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Finding the Fourth Proportional to 587.70, 810.75 and 421.56

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Solution

The fourth proportional to 587.70, 810.75 and 421.56 is: 581.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.70 : 810.75 = 421.56 : x
  2. Step 2: Convert to fraction form
    587.70/810.75 = 421.56/x
  3. Step 3: Cross multiply
    587.70x = 810.75 × 421.56
  4. Step 4: Simplify right side
    587.70x = 341,779.77
  5. Step 5: Solve for x
    x = 341,779.77/587.70
  6. Step 6: Final answer
    x = 581.55

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Double scale
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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.