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Finding the Fourth Proportional to 1,590.31, 2,386.40 and 665.79

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Solution

The fourth proportional to 1,590.31, 2,386.40 and 665.79 is: 999.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.31 : 2,386.40 = 665.79 : x
  2. Step 2: Convert to fraction form
    1,590.31/2,386.40 = 665.79/x
  3. Step 3: Cross multiply
    1,590.31x = 2,386.40 × 665.79
  4. Step 4: Simplify right side
    1,590.31x = 1,588,841.26
  5. Step 5: Solve for x
    x = 1,588,841.26/1,590.31
  6. Step 6: Final answer
    x = 999.08

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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.