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Finding the Fourth Proportional to 945.24, 1,303.76 and 651.20

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Solution

The fourth proportional to 945.24, 1,303.76 and 651.20 is: 898.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.24 : 1,303.76 = 651.20 : x
  2. Step 2: Convert to fraction form
    945.24/1,303.76 = 651.20/x
  3. Step 3: Cross multiply
    945.24x = 1,303.76 × 651.20
  4. Step 4: Simplify right side
    945.24x = 849,008.51
  5. Step 5: Solve for x
    x = 849,008.51/945.24
  6. Step 6: Final answer
    x = 898.19

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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.