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Finding the Fourth Proportional to 870.42, 1,305.96 and 524.00

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Solution

The fourth proportional to 870.42, 1,305.96 and 524.00 is: 786.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.42 : 1,305.96 = 524.00 : x
  2. Step 2: Convert to fraction form
    870.42/1,305.96 = 524.00/x
  3. Step 3: Cross multiply
    870.42x = 1,305.96 × 524.00
  4. Step 4: Simplify right side
    870.42x = 684,316.51
  5. Step 5: Solve for x
    x = 684,316.51/870.42
  6. Step 6: Final answer
    x = 786.19

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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.