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Finding the Fourth Proportional to 1,500.42, 2,070 and 870.63

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Solution

The fourth proportional to 1,500.42, 2,070 and 870.63 is: 1,201.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.42 : 2,070 = 870.63 : x
  2. Step 2: Convert to fraction form
    1,500.42/2,070 = 870.63/x
  3. Step 3: Cross multiply
    1,500.42x = 2,070 × 870.63
  4. Step 4: Simplify right side
    1,500.42x = 1,802,204.10
  5. Step 5: Solve for x
    x = 1,802,204.10/1,500.42
  6. Step 6: Final answer
    x = 1,201.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.