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Finding the Fourth Proportional to 1,590.51, 2,385.49 and 420.52

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Solution

The fourth proportional to 1,590.51, 2,385.49 and 420.52 is: 630.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.51 : 2,385.49 = 420.52 : x
  2. Step 2: Convert to fraction form
    1,590.51/2,385.49 = 420.52/x
  3. Step 3: Cross multiply
    1,590.51x = 2,385.49 × 420.52
  4. Step 4: Simplify right side
    1,590.51x = 1,003,152.22
  5. Step 5: Solve for x
    x = 1,003,152.22/1,590.51
  6. Step 6: Final answer
    x = 630.71

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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.