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Finding the Fourth Proportional to 870.42, 1,305.36 and 431.22

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Solution

The fourth proportional to 870.42, 1,305.36 and 431.22 is: 646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.42 : 1,305.36 = 431.22 : x
  2. Step 2: Convert to fraction form
    870.42/1,305.36 = 431.22/x
  3. Step 3: Cross multiply
    870.42x = 1,305.36 × 431.22
  4. Step 4: Simplify right side
    870.42x = 562,897.34
  5. Step 5: Solve for x
    x = 562,897.34/870.42
  6. Step 6: Final answer
    x = 646.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.