Home / 1,564.02-2,344.14-870.12

Finding the Fourth Proportional to 1,564.02, 2,344.14 and 870.12

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Solution

The fourth proportional to 1,564.02, 2,344.14 and 870.12 is: 1,304.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.02 : 2,344.14 = 870.12 : x
  2. Step 2: Convert to fraction form
    1,564.02/2,344.14 = 870.12/x
  3. Step 3: Cross multiply
    1,564.02x = 2,344.14 × 870.12
  4. Step 4: Simplify right side
    1,564.02x = 2,039,683.10
  5. Step 5: Solve for x
    x = 2,039,683.10/1,564.02
  6. Step 6: Final answer
    x = 1,304.13

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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.