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Finding the Fourth Proportional to 1,533.35, 2,298.74 and 711.20

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Solution

The fourth proportional to 1,533.35, 2,298.74 and 711.20 is: 1,066.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.35 : 2,298.74 = 711.20 : x
  2. Step 2: Convert to fraction form
    1,533.35/2,298.74 = 711.20/x
  3. Step 3: Cross multiply
    1,533.35x = 2,298.74 × 711.20
  4. Step 4: Simplify right side
    1,533.35x = 1,634,848.84
  5. Step 5: Solve for x
    x = 1,634,848.84/1,533.35
  6. Step 6: Final answer
    x = 1,066.20

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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.