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Finding the Fourth Proportional to 1,007.16, 1,389.85 and 565.06

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Solution

The fourth proportional to 1,007.16, 1,389.85 and 565.06 is: 779.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.16 : 1,389.85 = 565.06 : x
  2. Step 2: Convert to fraction form
    1,007.16/1,389.85 = 565.06/x
  3. Step 3: Cross multiply
    1,007.16x = 1,389.85 × 565.06
  4. Step 4: Simplify right side
    1,007.16x = 785,348.64
  5. Step 5: Solve for x
    x = 785,348.64/1,007.16
  6. Step 6: Final answer
    x = 779.77

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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.