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Finding the Fourth Proportional to 1,153.45, 1,590.99 and 711.49

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Solution

The fourth proportional to 1,153.45, 1,590.99 and 711.49 is: 981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.45 : 1,590.99 = 711.49 : x
  2. Step 2: Convert to fraction form
    1,153.45/1,590.99 = 711.49/x
  3. Step 3: Cross multiply
    1,153.45x = 1,590.99 × 711.49
  4. Step 4: Simplify right side
    1,153.45x = 1,131,973.48
  5. Step 5: Solve for x
    x = 1,131,973.48/1,153.45
  6. Step 6: Final answer
    x = 981.38

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Half scale
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Double scale
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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.