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Finding the Fourth Proportional to 870.83, 1,303.95 and 611.15

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Solution

The fourth proportional to 870.83, 1,303.95 and 611.15 is: 915.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.83 : 1,303.95 = 611.15 : x
  2. Step 2: Convert to fraction form
    870.83/1,303.95 = 611.15/x
  3. Step 3: Cross multiply
    870.83x = 1,303.95 × 611.15
  4. Step 4: Simplify right side
    870.83x = 796,909.04
  5. Step 5: Solve for x
    x = 796,909.04/870.83
  6. Step 6: Final answer
    x = 915.11

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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.