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Finding the Fourth Proportional to 1,087.34, 1,501.59 and 929.04

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Solution

The fourth proportional to 1,087.34, 1,501.59 and 929.04 is: 1,282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.34 : 1,501.59 = 929.04 : x
  2. Step 2: Convert to fraction form
    1,087.34/1,501.59 = 929.04/x
  3. Step 3: Cross multiply
    1,087.34x = 1,501.59 × 929.04
  4. Step 4: Simplify right side
    1,087.34x = 1,395,032.53
  5. Step 5: Solve for x
    x = 1,395,032.53/1,087.34
  6. Step 6: Final answer
    x = 1,282.98

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