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Finding the Fourth Proportional to 1,590.15, 2,385.19 and 652.89

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Solution

The fourth proportional to 1,590.15, 2,385.19 and 652.89 is: 979.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.15 : 2,385.19 = 652.89 : x
  2. Step 2: Convert to fraction form
    1,590.15/2,385.19 = 652.89/x
  3. Step 3: Cross multiply
    1,590.15x = 2,385.19 × 652.89
  4. Step 4: Simplify right side
    1,590.15x = 1,557,258.57
  5. Step 5: Solve for x
    x = 1,557,258.57/1,590.15
  6. Step 6: Final answer
    x = 979.32

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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.