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Finding the Fourth Proportional to 864.07, 1,294.18 and 430.31

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Solution

The fourth proportional to 864.07, 1,294.18 and 430.31 is: 644.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.07 : 1,294.18 = 430.31 : x
  2. Step 2: Convert to fraction form
    864.07/1,294.18 = 430.31/x
  3. Step 3: Cross multiply
    864.07x = 1,294.18 × 430.31
  4. Step 4: Simplify right side
    864.07x = 556,900.76
  5. Step 5: Solve for x
    x = 556,900.76/864.07
  6. Step 6: Final answer
    x = 644.51

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1.5x scale

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.