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Finding the Fourth Proportional to 1,045.02, 1,442.01 and 646.50

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Solution

The fourth proportional to 1,045.02, 1,442.01 and 646.50 is: 892.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.02 : 1,442.01 = 646.50 : x
  2. Step 2: Convert to fraction form
    1,045.02/1,442.01 = 646.50/x
  3. Step 3: Cross multiply
    1,045.02x = 1,442.01 × 646.50
  4. Step 4: Simplify right side
    1,045.02x = 932,259.47
  5. Step 5: Solve for x
    x = 932,259.47/1,045.02
  6. Step 6: Final answer
    x = 892.10

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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.