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Finding the Fourth Proportional to 870.61, 1,305.74 and 558.11

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Solution

The fourth proportional to 870.61, 1,305.74 and 558.11 is: 837.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.61 : 1,305.74 = 558.11 : x
  2. Step 2: Convert to fraction form
    870.61/1,305.74 = 558.11/x
  3. Step 3: Cross multiply
    870.61x = 1,305.74 × 558.11
  4. Step 4: Simplify right side
    870.61x = 728,740.02
  5. Step 5: Solve for x
    x = 728,740.02/870.61
  6. Step 6: Final answer
    x = 837.05

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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.