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Finding the Fourth Proportional to 876.83, 1,315.53 and 390.21

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Solution

The fourth proportional to 876.83, 1,315.53 and 390.21 is: 585.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.83 : 1,315.53 = 390.21 : x
  2. Step 2: Convert to fraction form
    876.83/1,315.53 = 390.21/x
  3. Step 3: Cross multiply
    876.83x = 1,315.53 × 390.21
  4. Step 4: Simplify right side
    876.83x = 513,332.96
  5. Step 5: Solve for x
    x = 513,332.96/876.83
  6. Step 6: Final answer
    x = 585.45

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1.5x scale

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.