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Finding the Fourth Proportional to 1,342.77, 2,014.35 and 476.88

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Solution

The fourth proportional to 1,342.77, 2,014.35 and 476.88 is: 715.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.77 : 2,014.35 = 476.88 : x
  2. Step 2: Convert to fraction form
    1,342.77/2,014.35 = 476.88/x
  3. Step 3: Cross multiply
    1,342.77x = 2,014.35 × 476.88
  4. Step 4: Simplify right side
    1,342.77x = 960,603.23
  5. Step 5: Solve for x
    x = 960,603.23/1,342.77
  6. Step 6: Final answer
    x = 715.39

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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.