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Finding the Fourth Proportional to 1,030.08, 1,543.98 and 509.31

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Solution

The fourth proportional to 1,030.08, 1,543.98 and 509.31 is: 763.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.08 : 1,543.98 = 509.31 : x
  2. Step 2: Convert to fraction form
    1,030.08/1,543.98 = 509.31/x
  3. Step 3: Cross multiply
    1,030.08x = 1,543.98 × 509.31
  4. Step 4: Simplify right side
    1,030.08x = 786,364.45
  5. Step 5: Solve for x
    x = 786,364.45/1,030.08
  6. Step 6: Final answer
    x = 763.40

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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.