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Finding the Fourth Proportional to 1,007.40, 1,510.94 and 277.04

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Solution

The fourth proportional to 1,007.40, 1,510.94 and 277.04 is: 415.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.40 : 1,510.94 = 277.04 : x
  2. Step 2: Convert to fraction form
    1,007.40/1,510.94 = 277.04/x
  3. Step 3: Cross multiply
    1,007.40x = 1,510.94 × 277.04
  4. Step 4: Simplify right side
    1,007.40x = 418,590.82
  5. Step 5: Solve for x
    x = 418,590.82/1,007.40
  6. Step 6: Final answer
    x = 415.52

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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.