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Finding the Fourth Proportional to 1,005.39, 1,387.58 and 585.77

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Solution

The fourth proportional to 1,005.39, 1,387.58 and 585.77 is: 808.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.39 : 1,387.58 = 585.77 : x
  2. Step 2: Convert to fraction form
    1,005.39/1,387.58 = 585.77/x
  3. Step 3: Cross multiply
    1,005.39x = 1,387.58 × 585.77
  4. Step 4: Simplify right side
    1,005.39x = 812,792.87
  5. Step 5: Solve for x
    x = 812,792.87/1,005.39
  6. Step 6: Final answer
    x = 808.44

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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.