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Finding the Fourth Proportional to 1,544.84, 2,317.08 and 390.50

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Solution

The fourth proportional to 1,544.84, 2,317.08 and 390.50 is: 585.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.84 : 2,317.08 = 390.50 : x
  2. Step 2: Convert to fraction form
    1,544.84/2,317.08 = 390.50/x
  3. Step 3: Cross multiply
    1,544.84x = 2,317.08 × 390.50
  4. Step 4: Simplify right side
    1,544.84x = 904,819.74
  5. Step 5: Solve for x
    x = 904,819.74/1,544.84
  6. Step 6: Final answer
    x = 585.70

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Double scale
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1.5x scale

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.