Home / 1,032.35-1,547.20-512.53

Finding the Fourth Proportional to 1,032.35, 1,547.20 and 512.53

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Solution

The fourth proportional to 1,032.35, 1,547.20 and 512.53 is: 768.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.35 : 1,547.20 = 512.53 : x
  2. Step 2: Convert to fraction form
    1,032.35/1,547.20 = 512.53/x
  3. Step 3: Cross multiply
    1,032.35x = 1,547.20 × 512.53
  4. Step 4: Simplify right side
    1,032.35x = 792,983.19
  5. Step 5: Solve for x
    x = 792,983.19/1,032.35
  6. Step 6: Final answer
    x = 768.14

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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.