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Finding the Fourth Proportional to 1,656.32, 2,484.18 and 486.30

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Solution

The fourth proportional to 1,656.32, 2,484.18 and 486.30 is: 729.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.32 : 2,484.18 = 486.30 : x
  2. Step 2: Convert to fraction form
    1,656.32/2,484.18 = 486.30/x
  3. Step 3: Cross multiply
    1,656.32x = 2,484.18 × 486.30
  4. Step 4: Simplify right side
    1,656.32x = 1,208,051.13
  5. Step 5: Solve for x
    x = 1,208,051.13/1,656.32
  6. Step 6: Final answer
    x = 729.36

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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.