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Finding the Fourth Proportional to 1,590.49, 2,386.82 and 616.47

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Solution

The fourth proportional to 1,590.49, 2,386.82 and 616.47 is: 925.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.49 : 2,386.82 = 616.47 : x
  2. Step 2: Convert to fraction form
    1,590.49/2,386.82 = 616.47/x
  3. Step 3: Cross multiply
    1,590.49x = 2,386.82 × 616.47
  4. Step 4: Simplify right side
    1,590.49x = 1,471,402.93
  5. Step 5: Solve for x
    x = 1,471,402.93/1,590.49
  6. Step 6: Final answer
    x = 925.13

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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.