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Finding the Fourth Proportional to 1,019.87, 1,407.50 and 647.13

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Solution

The fourth proportional to 1,019.87, 1,407.50 and 647.13 is: 893.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.87 : 1,407.50 = 647.13 : x
  2. Step 2: Convert to fraction form
    1,019.87/1,407.50 = 647.13/x
  3. Step 3: Cross multiply
    1,019.87x = 1,407.50 × 647.13
  4. Step 4: Simplify right side
    1,019.87x = 910,835.48
  5. Step 5: Solve for x
    x = 910,835.48/1,019.87
  6. Step 6: Final answer
    x = 893.09

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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.