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Finding the Fourth Proportional to 991.53, 1,486.08 and 870.03

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Solution

The fourth proportional to 991.53, 1,486.08 and 870.03 is: 1,303.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.53 : 1,486.08 = 870.03 : x
  2. Step 2: Convert to fraction form
    991.53/1,486.08 = 870.03/x
  3. Step 3: Cross multiply
    991.53x = 1,486.08 × 870.03
  4. Step 4: Simplify right side
    991.53x = 1,292,934.18
  5. Step 5: Solve for x
    x = 1,292,934.18/991.53
  6. Step 6: Final answer
    x = 1,303.98

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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.