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Finding the Fourth Proportional to 977.74, 1,349.40 and 584.76

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Solution

The fourth proportional to 977.74, 1,349.40 and 584.76 is: 807.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.74 : 1,349.40 = 584.76 : x
  2. Step 2: Convert to fraction form
    977.74/1,349.40 = 584.76/x
  3. Step 3: Cross multiply
    977.74x = 1,349.40 × 584.76
  4. Step 4: Simplify right side
    977.74x = 789,075.14
  5. Step 5: Solve for x
    x = 789,075.14/977.74
  6. Step 6: Final answer
    x = 807.04

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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.