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Finding the Fourth Proportional to 1,698.90, 2,547.15 and 875.58

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Solution

The fourth proportional to 1,698.90, 2,547.15 and 875.58 is: 1,312.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.90 : 2,547.15 = 875.58 : x
  2. Step 2: Convert to fraction form
    1,698.90/2,547.15 = 875.58/x
  3. Step 3: Cross multiply
    1,698.90x = 2,547.15 × 875.58
  4. Step 4: Simplify right side
    1,698.90x = 2,230,233.60
  5. Step 5: Solve for x
    x = 2,230,233.60/1,698.90
  6. Step 6: Final answer
    x = 1,312.75

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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.