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Finding the Fourth Proportional to 1,152.19, 1,589.57 and 647.93

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Solution

The fourth proportional to 1,152.19, 1,589.57 and 647.93 is: 893.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.19 : 1,589.57 = 647.93 : x
  2. Step 2: Convert to fraction form
    1,152.19/1,589.57 = 647.93/x
  3. Step 3: Cross multiply
    1,152.19x = 1,589.57 × 647.93
  4. Step 4: Simplify right side
    1,152.19x = 1,029,936.90
  5. Step 5: Solve for x
    x = 1,029,936.90/1,152.19
  6. Step 6: Final answer
    x = 893.89

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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.