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Finding the Fourth Proportional to 1,007.08, 1,510.86 and 430.12

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Solution

The fourth proportional to 1,007.08, 1,510.86 and 430.12 is: 645.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.08 : 1,510.86 = 430.12 : x
  2. Step 2: Convert to fraction form
    1,007.08/1,510.86 = 430.12/x
  3. Step 3: Cross multiply
    1,007.08x = 1,510.86 × 430.12
  4. Step 4: Simplify right side
    1,007.08x = 649,851.10
  5. Step 5: Solve for x
    x = 649,851.10/1,007.08
  6. Step 6: Final answer
    x = 645.28

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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.