Home / 1,315.78-1,972.28-585.16

Finding the Fourth Proportional to 1,315.78, 1,972.28 and 585.16

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Solution

The fourth proportional to 1,315.78, 1,972.28 and 585.16 is: 877.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.78 : 1,972.28 = 585.16 : x
  2. Step 2: Convert to fraction form
    1,315.78/1,972.28 = 585.16/x
  3. Step 3: Cross multiply
    1,315.78x = 1,972.28 × 585.16
  4. Step 4: Simplify right side
    1,315.78x = 1,154,095.90
  5. Step 5: Solve for x
    x = 1,154,095.90/1,315.78
  6. Step 6: Final answer
    x = 877.12

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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.