Home / 1,315.61-1,973.88-585.12

Finding the Fourth Proportional to 1,315.61, 1,973.88 and 585.12

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Solution

The fourth proportional to 1,315.61, 1,973.88 and 585.12 is: 877.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.61 : 1,973.88 = 585.12 : x
  2. Step 2: Convert to fraction form
    1,315.61/1,973.88 = 585.12/x
  3. Step 3: Cross multiply
    1,315.61x = 1,973.88 × 585.12
  4. Step 4: Simplify right side
    1,315.61x = 1,154,956.67
  5. Step 5: Solve for x
    x = 1,154,956.67/1,315.61
  6. Step 6: Final answer
    x = 877.89

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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.