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Finding the Fourth Proportional to 904.16, 1,355.40 and 647.12

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Solution

The fourth proportional to 904.16, 1,355.40 and 647.12 is: 970.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.16 : 1,355.40 = 647.12 : x
  2. Step 2: Convert to fraction form
    904.16/1,355.40 = 647.12/x
  3. Step 3: Cross multiply
    904.16x = 1,355.40 × 647.12
  4. Step 4: Simplify right side
    904.16x = 877,106.45
  5. Step 5: Solve for x
    x = 877,106.45/904.16
  6. Step 6: Final answer
    x = 970.08

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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.