Home / 1,547.02-2,319.76-506.98

Finding the Fourth Proportional to 1,547.02, 2,319.76 and 506.98

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Solution

The fourth proportional to 1,547.02, 2,319.76 and 506.98 is: 760.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.02 : 2,319.76 = 506.98 : x
  2. Step 2: Convert to fraction form
    1,547.02/2,319.76 = 506.98/x
  3. Step 3: Cross multiply
    1,547.02x = 2,319.76 × 506.98
  4. Step 4: Simplify right side
    1,547.02x = 1,176,071.92
  5. Step 5: Solve for x
    x = 1,176,071.92/1,547.02
  6. Step 6: Final answer
    x = 760.22

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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.