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Finding the Fourth Proportional to 1,807.02, 2,708.87 and 652.50

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Solution

The fourth proportional to 1,807.02, 2,708.87 and 652.50 is: 978.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.02 : 2,708.87 = 652.50 : x
  2. Step 2: Convert to fraction form
    1,807.02/2,708.87 = 652.50/x
  3. Step 3: Cross multiply
    1,807.02x = 2,708.87 × 652.50
  4. Step 4: Simplify right side
    1,807.02x = 1,767,534.41
  5. Step 5: Solve for x
    x = 1,767,534.41/1,807.02
  6. Step 6: Final answer
    x = 978.15

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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.